What is the Greatest Common Factor of 86720 and 86724?

Greatest common factor (GCF) of 86720 and 86724 is 4.

GCF(86720,86724) = 4

We will now calculate the prime factors of 86720 and 86724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86720 and 86724.

How to find the GCF of 86720 and 86724?

We will first find the prime factorization of 86720 and 86724. After we will calculate the factors of 86720 and 86724 and find the biggest common factor number .

Step-1: Prime Factorization of 86720

Prime factors of 86720 are 2, 5, 271. Prime factorization of 86720 in exponential form is:

86720 = 2⁶ × 5¹ × 271¹

Step-2: Prime Factorization of 86724

Prime factors of 86724 are 2, 3, 11, 73. Prime factorization of 86724 in exponential form is:

86724 = 2² × 3³ × 11¹ × 73¹

Step-3: Factors of 86720

List of positive integer factors of 86720 that divides 86720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 271, 320, 542, 1084, 1355, 2168, 2710, 4336, 5420, 8672, 10840, 17344, 21680, 43360

Step-4: Factors of 86724

List of positive integer factors of 86724 that divides 86720 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 73, 99, 108, 132, 146, 198, 219, 292, 297, 396, 438, 594, 657, 803, 876, 1188, 1314, 1606, 1971, 2409, 2628, 3212, 3942, 4818, 7227, 7884, 9636, 14454, 21681, 28908, 43362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86720 and 86724. The biggest common factor number is the GCF number.
So the greatest common factor 86720 and 86724 is 4.

Also check out the Least Common Multiple of 86720 and 86724