What is the Greatest Common Factor of 86463 and 86476?

Greatest common factor (GCF) of 86463 and 86476 is 13.

GCF(86463,86476) = 13

We will now calculate the prime factors of 86463 and 86476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86463 and 86476.

How to find the GCF of 86463 and 86476?

We will first find the prime factorization of 86463 and 86476. After we will calculate the factors of 86463 and 86476 and find the biggest common factor number .

Step-1: Prime Factorization of 86463

Prime factors of 86463 are 3, 13, 739. Prime factorization of 86463 in exponential form is:

86463 = 3² × 13¹ × 739¹

Step-2: 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-3: Factors of 86463

List of positive integer factors of 86463 that divides 86463 without a remainder.

1, 3, 9, 13, 39, 117, 739, 2217, 6651, 9607, 28821

Step-4: Factors of 86476

List of positive integer factors of 86476 that divides 86463 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86463 and 86476. The biggest common factor number is the GCF number.
So the greatest common factor 86463 and 86476 is 13.

Also check out the Least Common Multiple of 86463 and 86476