What is the Greatest Common Factor of 97452 and 97472?

Greatest common factor (GCF) of 97452 and 97472 is 4.

GCF(97452,97472) = 4

We will now calculate the prime factors of 97452 and 97472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97452 and 97472.

How to find the GCF of 97452 and 97472?

We will first find the prime factorization of 97452 and 97472. After we will calculate the factors of 97452 and 97472 and find the biggest common factor number .

Step-1: Prime Factorization of 97452

Prime factors of 97452 are 2, 3, 2707. Prime factorization of 97452 in exponential form is:

97452 = 2² × 3² × 2707¹

Step-2: Prime Factorization of 97472

Prime factors of 97472 are 2, 1523. Prime factorization of 97472 in exponential form is:

97472 = 2⁶ × 1523¹

Step-3: Factors of 97452

List of positive integer factors of 97452 that divides 97452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2707, 5414, 8121, 10828, 16242, 24363, 32484, 48726

Step-4: Factors of 97472

List of positive integer factors of 97472 that divides 97452 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1523, 3046, 6092, 12184, 24368, 48736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97452 and 97472. The biggest common factor number is the GCF number.
So the greatest common factor 97452 and 97472 is 4.

Also check out the Least Common Multiple of 97452 and 97472