What is the Greatest Common Factor of 97272 and 97286?

Greatest common factor (GCF) of 97272 and 97286 is 14.

GCF(97272,97286) = 14

We will now calculate the prime factors of 97272 and 97286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97272 and 97286.

How to find the GCF of 97272 and 97286?

We will first find the prime factorization of 97272 and 97286. After we will calculate the factors of 97272 and 97286 and find the biggest common factor number .

Step-1: Prime Factorization of 97272

Prime factors of 97272 are 2, 3, 7, 193. Prime factorization of 97272 in exponential form is:

97272 = 2³ × 3² × 7¹ × 193¹

Step-2: Prime Factorization of 97286

Prime factors of 97286 are 2, 7, 6949. Prime factorization of 97286 in exponential form is:

97286 = 2¹ × 7¹ × 6949¹

Step-3: Factors of 97272

List of positive integer factors of 97272 that divides 97272 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 193, 252, 386, 504, 579, 772, 1158, 1351, 1544, 1737, 2316, 2702, 3474, 4053, 4632, 5404, 6948, 8106, 10808, 12159, 13896, 16212, 24318, 32424, 48636

Step-4: Factors of 97286

List of positive integer factors of 97286 that divides 97272 without a remainder.

1, 2, 7, 14, 6949, 13898, 48643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97272 and 97286. The biggest common factor number is the GCF number.
So the greatest common factor 97272 and 97286 is 14.

Also check out the Least Common Multiple of 97272 and 97286