What is the Greatest Common Factor of 97258 and 97272?

Greatest common factor (GCF) of 97258 and 97272 is 14.

GCF(97258,97272) = 14

We will now calculate the prime factors of 97258 and 97272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97258 and 97272.

How to find the GCF of 97258 and 97272?

We will first find the prime factorization of 97258 and 97272. After we will calculate the factors of 97258 and 97272 and find the biggest common factor number .

Step-1: Prime Factorization of 97258

Prime factors of 97258 are 2, 7, 6947. Prime factorization of 97258 in exponential form is:

97258 = 2¹ × 7¹ × 6947¹

Step-2: 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-3: Factors of 97258

List of positive integer factors of 97258 that divides 97258 without a remainder.

1, 2, 7, 14, 6947, 13894, 48629

Step-4: Factors of 97272

List of positive integer factors of 97272 that divides 97258 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97258 and 97272. The biggest common factor number is the GCF number.
So the greatest common factor 97258 and 97272 is 14.

Also check out the Least Common Multiple of 97258 and 97272