What is the Greatest Common Factor of 86525 and 86540?

Greatest common factor (GCF) of 86525 and 86540 is 5.

GCF(86525,86540) = 5

We will now calculate the prime factors of 86525 and 86540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86525 and 86540.

How to find the GCF of 86525 and 86540?

We will first find the prime factorization of 86525 and 86540. After we will calculate the factors of 86525 and 86540 and find the biggest common factor number .

Step-1: Prime Factorization of 86525

Prime factors of 86525 are 5, 3461. Prime factorization of 86525 in exponential form is:

86525 = 5² × 3461¹

Step-2: 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-3: Factors of 86525

List of positive integer factors of 86525 that divides 86525 without a remainder.

1, 5, 25, 3461, 17305

Step-4: Factors of 86540

List of positive integer factors of 86540 that divides 86525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86525 and 86540. The biggest common factor number is the GCF number.
So the greatest common factor 86525 and 86540 is 5.

Also check out the Least Common Multiple of 86525 and 86540