What is the Greatest Common Factor of 85176 and 85188?

Greatest common factor (GCF) of 85176 and 85188 is 12.

GCF(85176,85188) = 12

We will now calculate the prime factors of 85176 and 85188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85176 and 85188.

How to find the GCF of 85176 and 85188?

We will first find the prime factorization of 85176 and 85188. After we will calculate the factors of 85176 and 85188 and find the biggest common factor number .

Step-1: Prime Factorization of 85176

Prime factors of 85176 are 2, 3, 7, 13. Prime factorization of 85176 in exponential form is:

85176 = 2³ × 3² × 7¹ × 13²

Step-2: Prime Factorization of 85188

Prime factors of 85188 are 2, 3, 31, 229. Prime factorization of 85188 in exponential form is:

85188 = 2² × 3¹ × 31¹ × 229¹

Step-3: Factors of 85176

List of positive integer factors of 85176 that divides 85176 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 169, 182, 234, 252, 273, 312, 338, 364, 468, 504, 507, 546, 676, 728, 819, 936, 1014, 1092, 1183, 1352, 1521, 1638, 2028, 2184, 2366, 3042, 3276, 3549, 4056, 4732, 6084, 6552, 7098, 9464, 10647, 12168, 14196, 21294, 28392, 42588

Step-4: Factors of 85188

List of positive integer factors of 85188 that divides 85176 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 229, 372, 458, 687, 916, 1374, 2748, 7099, 14198, 21297, 28396, 42594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85176 and 85188. The biggest common factor number is the GCF number.
So the greatest common factor 85176 and 85188 is 12.

Also check out the Least Common Multiple of 85176 and 85188