The prime factorization of 26 = 2•13.

Factors of 27: 1, 3, 9, 27. Prime factorization: 27 = 3 x 3 x 3, which can also be written 27 = 3³.

The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.

2

What is the GCF of 26 and 32?

• Find the prime factorization of 26. 26 = 2 × 13.
• Find the prime factorization of 32. 32 = 2 × 2 × 2 × 2 × 2.
• Therefore, GCF = 2.

There are overall 4 factors of 26 among which 26 is the biggest factor and its positive factors are 1, 2, 13 and 26. The sum of all factors of 26 is 42 and its factors in Pairs are (1, 26) and (2, 13).

416

FAQs on HCF of 24 and 32 The HCF of 24 and 32 is 8. To calculate the Highest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the highest factor that exactly divides both 24 and 32, i.e., 8.

90

Follow the steps given below to find the LCM of 24, 36, and 72. Here, 72 is the least common multiple of 24, 36, and 72. Observe that the solution to our question LCM of 24, 36, and 72 is the same in both methods.

504

168

3

108

54

Example 1: 9:9,18,27,36_,45,54,63,72,… 12:12,24,36_,48,60,72,… 36 is the first number that occurs in both lists. So 36 is the LCM.

Answer: LCM (25,30)= 150.

120

100

FAQs on HCF of 20 and 25 The HCF of 20 and 25 is 5. To calculate the HCF (Highest Common Factor) of 20 and 25, we need to factor each number (factors of 20 = 1, 2, 4, 5, 10, 20; factors of 25 = 1, 5, 25) and choose the highest factor that exactly divides both 20 and 25, i.e., 5.

There are 3 common factors of 25 and 75, that are 1, 5, and 25. Therefore, the greatest common factor of 25 and 75 is 25.

Highest common factor (HCF) of 25, 75, 100 is 25.

5