Question

using the repeat subtraction method find the HCF 72 and 24​

Answer 1

Answer:

Step-1: Prime Factorization of 24

Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:

24 = 23 × 31

Step-2: Prime Factorization of 72

Prime factors of 72 are 2, 3. Prime factorization of 72 in exponential form is:

72 = 23 × 32Step-3: Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12

Step-4: Factors of 72

List of positive integer factors of 72 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24 and 72. The biggest common factor number is the GCF number.

So the greatest common factor 24 and 72 is 24