What is the Greatest Common Factor of 91692 and 91710?

Greatest common factor (GCF) of 91692 and 91710 is 18.

GCF(91692,91710) = 18

We will now calculate the prime factors of 91692 and 91710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91692 and 91710.

How to find the GCF of 91692 and 91710?

We will first find the prime factorization of 91692 and 91710. After we will calculate the factors of 91692 and 91710 and find the biggest common factor number .

Step-1: Prime Factorization of 91692

Prime factors of 91692 are 2, 3, 283. Prime factorization of 91692 in exponential form is:

91692 = 2² × 3⁴ × 283¹

Step-2: Prime Factorization of 91710

Prime factors of 91710 are 2, 3, 5, 1019. Prime factorization of 91710 in exponential form is:

91710 = 2¹ × 3² × 5¹ × 1019¹

Step-3: Factors of 91692

List of positive integer factors of 91692 that divides 91692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 283, 324, 566, 849, 1132, 1698, 2547, 3396, 5094, 7641, 10188, 15282, 22923, 30564, 45846

Step-4: Factors of 91710

List of positive integer factors of 91710 that divides 91692 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1019, 2038, 3057, 5095, 6114, 9171, 10190, 15285, 18342, 30570, 45855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91692 and 91710. The biggest common factor number is the GCF number.
So the greatest common factor 91692 and 91710 is 18.

Also check out the Least Common Multiple of 91692 and 91710