What is the Greatest Common Factor of 97356 and 97368?

Greatest common factor (GCF) of 97356 and 97368 is 12.

GCF(97356,97368) = 12

We will now calculate the prime factors of 97356 and 97368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97356 and 97368.

How to find the GCF of 97356 and 97368?

We will first find the prime factorization of 97356 and 97368. After we will calculate the factors of 97356 and 97368 and find the biggest common factor number .

Step-1: Prime Factorization of 97356

Prime factors of 97356 are 2, 3, 7, 19, 61. Prime factorization of 97356 in exponential form is:

97356 = 2² × 3¹ × 7¹ × 19¹ × 61¹

Step-2: Prime Factorization of 97368

Prime factors of 97368 are 2, 3, 4057. Prime factorization of 97368 in exponential form is:

97368 = 2³ × 3¹ × 4057¹

Step-3: Factors of 97356

List of positive integer factors of 97356 that divides 97356 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 61, 76, 84, 114, 122, 133, 183, 228, 244, 266, 366, 399, 427, 532, 732, 798, 854, 1159, 1281, 1596, 1708, 2318, 2562, 3477, 4636, 5124, 6954, 8113, 13908, 16226, 24339, 32452, 48678

Step-4: Factors of 97368

List of positive integer factors of 97368 that divides 97356 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4057, 8114, 12171, 16228, 24342, 32456, 48684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97356 and 97368. The biggest common factor number is the GCF number.
So the greatest common factor 97356 and 97368 is 12.

Also check out the Least Common Multiple of 97356 and 97368