What is the Greatest Common Factor of 86700 and 86720?

Greatest common factor (GCF) of 86700 and 86720 is 20.

GCF(86700,86720) = 20

We will now calculate the prime factors of 86700 and 86720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86700 and 86720.

How to find the GCF of 86700 and 86720?

We will first find the prime factorization of 86700 and 86720. After we will calculate the factors of 86700 and 86720 and find the biggest common factor number .

Step-1: Prime Factorization of 86700

Prime factors of 86700 are 2, 3, 5, 17. Prime factorization of 86700 in exponential form is:

86700 = 2² × 3¹ × 5² × 17²

Step-2: 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-3: Factors of 86700

List of positive integer factors of 86700 that divides 86700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 289, 300, 340, 425, 510, 578, 850, 867, 1020, 1156, 1275, 1445, 1700, 1734, 2550, 2890, 3468, 4335, 5100, 5780, 7225, 8670, 14450, 17340, 21675, 28900, 43350

Step-4: Factors of 86720

List of positive integer factors of 86720 that divides 86700 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86700 and 86720. The biggest common factor number is the GCF number.
So the greatest common factor 86700 and 86720 is 20.

Also check out the Least Common Multiple of 86700 and 86720