Results: The number 900 is a composite number because 900 can be divided by 1, by itself and at least by 2, 3 and 5. So, it is possible to draw its prime tree. The prime factorization of 900 = 22•32•52.

Factor Pairs of 900

1. 1 x 900 = 900.
2. 2 x 450 = 900.
3. 3 x 300 = 900.
4. 4 x 225 = 900.
5. 5 x 180 = 900.
6. 6 x 150 = 900.
7. 9 x 100 = 900.
8. 10 x 90 = 900.

As you can see, all Factor Pairs of 900 equal 900 when you multiply them together.

• x 900 = 900.
• x 450 = 900.
• x 300 = 900.
• x 225 = 900.
• x 180 = 900.
• x 150 = 900.

Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450. There are 26 integers that are factors of 900. The biggest factor of 900 is 450….Factors of 900 Table.

Factors of 900

• Factors of 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450 and 900.
• Prime Factorization of 900 : 22 × 32 × 52

Integer numbers prime factorization:

• 546 = 2 × 3 × 7 × 13; 546 is not a prime, is a composite number;
• 900 = 22 × 32 × 52; 900 is not a prime, is a composite number;

We found the factors and prime factorization of 18 and 30. The biggest common factor number is the GCF number. So the greatest common factor 18 and 30 is 6.

GCF of 90 and 135 by Listing Common Factors There are 6 common factors of 90 and 135, that are 1, 3, 5, 9, 45, and 15. Therefore, the greatest common factor of 90 and 135 is 45.

6

HCF of 18 and 24 by Prime Factorization As visible, 18 and 24 have common prime factors. Hence, the HCF of 18 and 24 is 2 × 3 = 6.

HCF of 12 and 24 by Prime Factorization As visible, 12 and 24 have common prime factors. Hence, the HCF of 12 and 24 is 2 × 2 × 3 = 12.

3

What is the HCF of 6 and 24? The HCF of 6 and 24 is 6. To calculate the HCF of 6 and 24, we need to factor each number (factors of 6 = 1, 2, 3, 6; factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24) and choose the highest factor that exactly divides both 6 and 24, i.e., 6.

4

The common factors of 20 and 64 are 4, 2, 1, intersecting the two sets above. In the intersection factors of 20 ∩ factors of 64 the greatest element is 4. Therefore, the greatest common factor of 20 and 64 is 4.

FAQs on HCF of 20 and 30 The HCF of 20 and 30 is 10. To calculate the Highest common factor (HCF) of 20 and 30, we need to factor each number (factors of 20 = 1, 2, 4, 5, 10, 20; factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30) and choose the highest factor that exactly divides both 20 and 30, i.e., 10.

8

Factors of 15 (Fifteen) = 1, 3, 5 and 15. Factors of 35 (Thirty five) = 1, 5, 7 and 35. Therefore, common factor of 15 (Fifteen) and 35 (Thirty five) = 1 and 5. Highest common factor (H.C.F) of 15 (Fifteen) and 35 (Thirty five) = 5.