What is the Greatest Common Factor of 29472 and 29487?

Greatest common factor (GCF) of 29472 and 29487 is 3.

GCF(29472,29487) = 3

We will now calculate the prime factors of 29472 and 29487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29472 and 29487.

How to find the GCF of 29472 and 29487?

We will first find the prime factorization of 29472 and 29487. After we will calculate the factors of 29472 and 29487 and find the biggest common factor number .

Step-1: Prime Factorization of 29472

Prime factors of 29472 are 2, 3, 307. Prime factorization of 29472 in exponential form is:

29472 = 2⁵ × 3¹ × 307¹

Step-2: Prime Factorization of 29487

Prime factors of 29487 are 3, 9829. Prime factorization of 29487 in exponential form is:

29487 = 3¹ × 9829¹

Step-3: Factors of 29472

List of positive integer factors of 29472 that divides 29472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 9824, 14736

Step-4: Factors of 29487

List of positive integer factors of 29487 that divides 29472 without a remainder.

1, 3, 9829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29472 and 29487. The biggest common factor number is the GCF number.
So the greatest common factor 29472 and 29487 is 3.

Also check out the Least Common Multiple of 29472 and 29487