What is the Greatest Common Factor of 86268 and 86280?

Greatest common factor (GCF) of 86268 and 86280 is 12.

GCF(86268,86280) = 12

We will now calculate the prime factors of 86268 and 86280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86268 and 86280.

How to find the GCF of 86268 and 86280?

We will first find the prime factorization of 86268 and 86280. After we will calculate the factors of 86268 and 86280 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86280

Prime factors of 86280 are 2, 3, 5, 719. Prime factorization of 86280 in exponential form is:

86280 = 2³ × 3¹ × 5¹ × 719¹

Step-3: Factors of 86268

List of positive integer factors of 86268 that divides 86268 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

Step-4: Factors of 86280

List of positive integer factors of 86280 that divides 86268 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 719, 1438, 2157, 2876, 3595, 4314, 5752, 7190, 8628, 10785, 14380, 17256, 21570, 28760, 43140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86268 and 86280. The biggest common factor number is the GCF number.
So the greatest common factor 86268 and 86280 is 12.

Also check out the Least Common Multiple of 86268 and 86280