What is the Greatest Common Factor of 86554 and 86567?

Greatest common factor (GCF) of 86554 and 86567 is 13.

GCF(86554,86567) = 13

We will now calculate the prime factors of 86554 and 86567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86554 and 86567.

How to find the GCF of 86554 and 86567?

We will first find the prime factorization of 86554 and 86567. After we will calculate the factors of 86554 and 86567 and find the biggest common factor number .

Step-1: Prime Factorization of 86554

Prime factors of 86554 are 2, 13, 3329. Prime factorization of 86554 in exponential form is:

86554 = 2¹ × 13¹ × 3329¹

Step-2: Prime Factorization of 86567

Prime factors of 86567 are 13, 6659. Prime factorization of 86567 in exponential form is:

86567 = 13¹ × 6659¹

Step-3: Factors of 86554

List of positive integer factors of 86554 that divides 86554 without a remainder.

1, 2, 13, 26, 3329, 6658, 43277

Step-4: Factors of 86567

List of positive integer factors of 86567 that divides 86554 without a remainder.

1, 13, 6659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86554 and 86567. The biggest common factor number is the GCF number.
So the greatest common factor 86554 and 86567 is 13.

Also check out the Least Common Multiple of 86554 and 86567