What is the Greatest Common Factor of 86489 and 86502?

Greatest common factor (GCF) of 86489 and 86502 is 13.

GCF(86489,86502) = 13

We will now calculate the prime factors of 86489 and 86502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86489 and 86502.

How to find the GCF of 86489 and 86502?

We will first find the prime factorization of 86489 and 86502. After we will calculate the factors of 86489 and 86502 and find the biggest common factor number .

Step-1: Prime Factorization of 86489

Prime factors of 86489 are 13, 6653. Prime factorization of 86489 in exponential form is:

86489 = 13¹ × 6653¹

Step-2: Prime Factorization of 86502

Prime factors of 86502 are 2, 3, 13, 1109. Prime factorization of 86502 in exponential form is:

86502 = 2¹ × 3¹ × 13¹ × 1109¹

Step-3: Factors of 86489

List of positive integer factors of 86489 that divides 86489 without a remainder.

1, 13, 6653

Step-4: Factors of 86502

List of positive integer factors of 86502 that divides 86489 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1109, 2218, 3327, 6654, 14417, 28834, 43251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86489 and 86502. The biggest common factor number is the GCF number.
So the greatest common factor 86489 and 86502 is 13.

Also check out the Least Common Multiple of 86489 and 86502