What is the Greatest Common Factor of 86784 and 86788?

Greatest common factor (GCF) of 86784 and 86788 is 4.

GCF(86784,86788) = 4

We will now calculate the prime factors of 86784 and 86788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86784 and 86788.

How to find the GCF of 86784 and 86788?

We will first find the prime factorization of 86784 and 86788. After we will calculate the factors of 86784 and 86788 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86788

Prime factors of 86788 are 2, 13, 1669. Prime factorization of 86788 in exponential form is:

86788 = 2² × 13¹ × 1669¹

Step-3: Factors of 86784

List of positive integer factors of 86784 that divides 86784 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

Step-4: Factors of 86788

List of positive integer factors of 86788 that divides 86784 without a remainder.

1, 2, 4, 13, 26, 52, 1669, 3338, 6676, 21697, 43394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86784 and 86788. The biggest common factor number is the GCF number.
So the greatest common factor 86784 and 86788 is 4.

Also check out the Least Common Multiple of 86784 and 86788