What is the Greatest Common Factor of 91674 and 91692?

Greatest common factor (GCF) of 91674 and 91692 is 18.

GCF(91674,91692) = 18

We will now calculate the prime factors of 91674 and 91692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91674 and 91692.

How to find the GCF of 91674 and 91692?

We will first find the prime factorization of 91674 and 91692. After we will calculate the factors of 91674 and 91692 and find the biggest common factor number .

Step-1: Prime Factorization of 91674

Prime factors of 91674 are 2, 3, 11, 463. Prime factorization of 91674 in exponential form is:

91674 = 2¹ × 3² × 11¹ × 463¹

Step-2: 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-3: Factors of 91674

List of positive integer factors of 91674 that divides 91674 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 463, 926, 1389, 2778, 4167, 5093, 8334, 10186, 15279, 30558, 45837

Step-4: Factors of 91692

List of positive integer factors of 91692 that divides 91674 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91674 and 91692. The biggest common factor number is the GCF number.
So the greatest common factor 91674 and 91692 is 18.

Also check out the Least Common Multiple of 91674 and 91692