What is the Greatest Common Factor of 97257 and 97272?

Greatest common factor (GCF) of 97257 and 97272 is 3.

GCF(97257,97272) = 3

We will now calculate the prime factors of 97257 and 97272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97257 and 97272.

How to find the GCF of 97257 and 97272?

We will first find the prime factorization of 97257 and 97272. After we will calculate the factors of 97257 and 97272 and find the biggest common factor number .

Step-1: Prime Factorization of 97257

Prime factors of 97257 are 3, 17, 1907. Prime factorization of 97257 in exponential form is:

97257 = 3¹ × 17¹ × 1907¹

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 97257

List of positive integer factors of 97257 that divides 97257 without a remainder.

1, 3, 17, 51, 1907, 5721, 32419

Step-4: Factors of 97272

List of positive integer factors of 97272 that divides 97257 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 97257 and 97272. The biggest common factor number is the GCF number.
So the greatest common factor 97257 and 97272 is 3.

Also check out the Least Common Multiple of 97257 and 97272