What is the Greatest Common Factor of 97116 and 97128?

Greatest common factor (GCF) of 97116 and 97128 is 12.

GCF(97116,97128) = 12

We will now calculate the prime factors of 97116 and 97128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97116 and 97128.

How to find the GCF of 97116 and 97128?

We will first find the prime factorization of 97116 and 97128. After we will calculate the factors of 97116 and 97128 and find the biggest common factor number .

Step-1: Prime Factorization of 97116

Prime factors of 97116 are 2, 3, 8093. Prime factorization of 97116 in exponential form is:

97116 = 2² × 3¹ × 8093¹

Step-2: Prime Factorization of 97128

Prime factors of 97128 are 2, 3, 19, 71. Prime factorization of 97128 in exponential form is:

97128 = 2³ × 3² × 19¹ × 71¹

Step-3: Factors of 97116

List of positive integer factors of 97116 that divides 97116 without a remainder.

1, 2, 3, 4, 6, 12, 8093, 16186, 24279, 32372, 48558

Step-4: Factors of 97128

List of positive integer factors of 97128 that divides 97116 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 71, 72, 76, 114, 142, 152, 171, 213, 228, 284, 342, 426, 456, 568, 639, 684, 852, 1278, 1349, 1368, 1704, 2556, 2698, 4047, 5112, 5396, 8094, 10792, 12141, 16188, 24282, 32376, 48564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97116 and 97128. The biggest common factor number is the GCF number.
So the greatest common factor 97116 and 97128 is 12.

Also check out the Least Common Multiple of 97116 and 97128