What is the Greatest Common Factor of 97262 and 97272?

Greatest common factor (GCF) of 97262 and 97272 is 2.

GCF(97262,97272) = 2

We will now calculate the prime factors of 97262 and 97272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97262 and 97272.

How to find the GCF of 97262 and 97272?

We will first find the prime factorization of 97262 and 97272. After we will calculate the factors of 97262 and 97272 and find the biggest common factor number .

Step-1: Prime Factorization of 97262

Prime factors of 97262 are 2, 11, 4421. Prime factorization of 97262 in exponential form is:

97262 = 2¹ × 11¹ × 4421¹

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 97262

List of positive integer factors of 97262 that divides 97262 without a remainder.

1, 2, 11, 22, 4421, 8842, 48631

Step-4: Factors of 97272

List of positive integer factors of 97272 that divides 97262 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 97262 and 97272. The biggest common factor number is the GCF number.
So the greatest common factor 97262 and 97272 is 2.

Also check out the Least Common Multiple of 97262 and 97272