What is the Greatest Common Factor of 86540 and 86560?

Greatest common factor (GCF) of 86540 and 86560 is 20.

GCF(86540,86560) = 20

We will now calculate the prime factors of 86540 and 86560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86540 and 86560.

How to find the GCF of 86540 and 86560?

We will first find the prime factorization of 86540 and 86560. After we will calculate the factors of 86540 and 86560 and find the biggest common factor number .

Step-1: Prime Factorization of 86540

Prime factors of 86540 are 2, 5, 4327. Prime factorization of 86540 in exponential form is:

86540 = 2² × 5¹ × 4327¹

Step-2: Prime Factorization of 86560

Prime factors of 86560 are 2, 5, 541. Prime factorization of 86560 in exponential form is:

86560 = 2⁵ × 5¹ × 541¹

Step-3: Factors of 86540

List of positive integer factors of 86540 that divides 86540 without a remainder.

1, 2, 4, 5, 10, 20, 4327, 8654, 17308, 21635, 43270

Step-4: Factors of 86560

List of positive integer factors of 86560 that divides 86540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 541, 1082, 2164, 2705, 4328, 5410, 8656, 10820, 17312, 21640, 43280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86540 and 86560. The biggest common factor number is the GCF number.
So the greatest common factor 86540 and 86560 is 20.

Also check out the Least Common Multiple of 86540 and 86560