What is the Greatest Common Factor of 97164 and 97172?

Greatest common factor (GCF) of 97164 and 97172 is 4.

GCF(97164,97172) = 4

We will now calculate the prime factors of 97164 and 97172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97164 and 97172.

How to find the GCF of 97164 and 97172?

We will first find the prime factorization of 97164 and 97172. After we will calculate the factors of 97164 and 97172 and find the biggest common factor number .

Step-1: Prime Factorization of 97164

Prime factors of 97164 are 2, 3, 2699. Prime factorization of 97164 in exponential form is:

97164 = 2² × 3² × 2699¹

Step-2: Prime Factorization of 97172

Prime factors of 97172 are 2, 17, 1429. Prime factorization of 97172 in exponential form is:

97172 = 2² × 17¹ × 1429¹

Step-3: Factors of 97164

List of positive integer factors of 97164 that divides 97164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2699, 5398, 8097, 10796, 16194, 24291, 32388, 48582

Step-4: Factors of 97172

List of positive integer factors of 97172 that divides 97164 without a remainder.

1, 2, 4, 17, 34, 68, 1429, 2858, 5716, 24293, 48586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97164 and 97172. The biggest common factor number is the GCF number.
So the greatest common factor 97164 and 97172 is 4.

Also check out the Least Common Multiple of 97164 and 97172