What is the Greatest Common Factor of 86720 and 86728?

Greatest common factor (GCF) of 86720 and 86728 is 8.

GCF(86720,86728) = 8

We will now calculate the prime factors of 86720 and 86728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86720 and 86728.

How to find the GCF of 86720 and 86728?

We will first find the prime factorization of 86720 and 86728. After we will calculate the factors of 86720 and 86728 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 86728

Prime factors of 86728 are 2, 37, 293. Prime factorization of 86728 in exponential form is:

86728 = 2³ × 37¹ × 293¹

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 86728

List of positive integer factors of 86728 that divides 86720 without a remainder.

1, 2, 4, 8, 37, 74, 148, 293, 296, 586, 1172, 2344, 10841, 21682, 43364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86720 and 86728. The biggest common factor number is the GCF number.
So the greatest common factor 86720 and 86728 is 8.

Also check out the Least Common Multiple of 86720 and 86728