What is the Greatest Common Factor of 86060 and 86073?

Greatest common factor (GCF) of 86060 and 86073 is 13.

GCF(86060,86073) = 13

We will now calculate the prime factors of 86060 and 86073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86060 and 86073.

How to find the GCF of 86060 and 86073?

We will first find the prime factorization of 86060 and 86073. After we will calculate the factors of 86060 and 86073 and find the biggest common factor number .

Step-1: Prime Factorization of 86060

Prime factors of 86060 are 2, 5, 13, 331. Prime factorization of 86060 in exponential form is:

86060 = 2² × 5¹ × 13¹ × 331¹

Step-2: Prime Factorization of 86073

Prime factors of 86073 are 3, 13, 2207. Prime factorization of 86073 in exponential form is:

86073 = 3¹ × 13¹ × 2207¹

Step-3: Factors of 86060

List of positive integer factors of 86060 that divides 86060 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 331, 662, 1324, 1655, 3310, 4303, 6620, 8606, 17212, 21515, 43030

Step-4: Factors of 86073

List of positive integer factors of 86073 that divides 86060 without a remainder.

1, 3, 13, 39, 2207, 6621, 28691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86060 and 86073. The biggest common factor number is the GCF number.
So the greatest common factor 86060 and 86073 is 13.

Also check out the Least Common Multiple of 86060 and 86073