What is the Greatest Common Factor of 97176 and 97188?

Greatest common factor (GCF) of 97176 and 97188 is 12.

GCF(97176,97188) = 12

We will now calculate the prime factors of 97176 and 97188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97176 and 97188.

How to find the GCF of 97176 and 97188?

We will first find the prime factorization of 97176 and 97188. After we will calculate the factors of 97176 and 97188 and find the biggest common factor number .

Step-1: Prime Factorization of 97176

Prime factors of 97176 are 2, 3, 4049. Prime factorization of 97176 in exponential form is:

97176 = 2³ × 3¹ × 4049¹

Step-2: Prime Factorization of 97188

Prime factors of 97188 are 2, 3, 7, 13, 89. Prime factorization of 97188 in exponential form is:

97188 = 2² × 3¹ × 7¹ × 13¹ × 89¹

Step-3: Factors of 97176

List of positive integer factors of 97176 that divides 97176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4049, 8098, 12147, 16196, 24294, 32392, 48588

Step-4: Factors of 97188

List of positive integer factors of 97188 that divides 97176 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 89, 91, 156, 178, 182, 267, 273, 356, 364, 534, 546, 623, 1068, 1092, 1157, 1246, 1869, 2314, 2492, 3471, 3738, 4628, 6942, 7476, 8099, 13884, 16198, 24297, 32396, 48594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97176 and 97188. The biggest common factor number is the GCF number.
So the greatest common factor 97176 and 97188 is 12.

Also check out the Least Common Multiple of 97176 and 97188