What is the Greatest Common Factor of 86772 and 86784?

Greatest common factor (GCF) of 86772 and 86784 is 12.

GCF(86772,86784) = 12

We will now calculate the prime factors of 86772 and 86784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86772 and 86784.

How to find the GCF of 86772 and 86784?

We will first find the prime factorization of 86772 and 86784. After we will calculate the factors of 86772 and 86784 and find the biggest common factor number .

Step-1: Prime Factorization of 86772

Prime factors of 86772 are 2, 3, 7, 1033. Prime factorization of 86772 in exponential form is:

86772 = 2² × 3¹ × 7¹ × 1033¹

Step-2: Prime Factorization of 86784

Prime factors of 86784 are 2, 3, 113. Prime factorization of 86784 in exponential form is:

86784 = 2⁸ × 3¹ × 113¹

Step-3: Factors of 86772

List of positive integer factors of 86772 that divides 86772 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1033, 2066, 3099, 4132, 6198, 7231, 12396, 14462, 21693, 28924, 43386

Step-4: Factors of 86784

List of positive integer factors of 86784 that divides 86772 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 113, 128, 192, 226, 256, 339, 384, 452, 678, 768, 904, 1356, 1808, 2712, 3616, 5424, 7232, 10848, 14464, 21696, 28928, 43392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86772 and 86784. The biggest common factor number is the GCF number.
So the greatest common factor 86772 and 86784 is 12.

Also check out the Least Common Multiple of 86772 and 86784