What is the Greatest Common Factor of 86476 and 86489?

Greatest common factor (GCF) of 86476 and 86489 is 13.

GCF(86476,86489) = 13

We will now calculate the prime factors of 86476 and 86489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86476 and 86489.

How to find the GCF of 86476 and 86489?

We will first find the prime factorization of 86476 and 86489. After we will calculate the factors of 86476 and 86489 and find the biggest common factor number .

Step-1: Prime Factorization of 86476

Prime factors of 86476 are 2, 13, 1663. Prime factorization of 86476 in exponential form is:

86476 = 2² × 13¹ × 1663¹

Step-2: Prime Factorization of 86489

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

86489 = 13¹ × 6653¹

Step-3: Factors of 86476

List of positive integer factors of 86476 that divides 86476 without a remainder.

1, 2, 4, 13, 26, 52, 1663, 3326, 6652, 21619, 43238

Step-4: Factors of 86489

List of positive integer factors of 86489 that divides 86476 without a remainder.

1, 13, 6653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86476 and 86489. The biggest common factor number is the GCF number.
So the greatest common factor 86476 and 86489 is 13.

Also check out the Least Common Multiple of 86476 and 86489