What is the Greatest Common Factor of 86256 and 86268?

Greatest common factor (GCF) of 86256 and 86268 is 12.

GCF(86256,86268) = 12

We will now calculate the prime factors of 86256 and 86268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86256 and 86268.

How to find the GCF of 86256 and 86268?

We will first find the prime factorization of 86256 and 86268. After we will calculate the factors of 86256 and 86268 and find the biggest common factor number .

Step-1: Prime Factorization of 86256

Prime factors of 86256 are 2, 3, 599. Prime factorization of 86256 in exponential form is:

86256 = 2⁴ × 3² × 599¹

Step-2: Prime Factorization of 86268

Prime factors of 86268 are 2, 3, 7, 13, 79. Prime factorization of 86268 in exponential form is:

86268 = 2² × 3¹ × 7¹ × 13¹ × 79¹

Step-3: Factors of 86256

List of positive integer factors of 86256 that divides 86256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 599, 1198, 1797, 2396, 3594, 4792, 5391, 7188, 9584, 10782, 14376, 21564, 28752, 43128

Step-4: Factors of 86268

List of positive integer factors of 86268 that divides 86256 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 79, 84, 91, 156, 158, 182, 237, 273, 316, 364, 474, 546, 553, 948, 1027, 1092, 1106, 1659, 2054, 2212, 3081, 3318, 4108, 6162, 6636, 7189, 12324, 14378, 21567, 28756, 43134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86256 and 86268. The biggest common factor number is the GCF number.
So the greatest common factor 86256 and 86268 is 12.

Also check out the Least Common Multiple of 86256 and 86268