What is the Greatest Common Factor of 92772 and 92790?

Greatest common factor (GCF) of 92772 and 92790 is 18.

GCF(92772,92790) = 18

We will now calculate the prime factors of 92772 and 92790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92772 and 92790.

How to find the GCF of 92772 and 92790?

We will first find the prime factorization of 92772 and 92790. After we will calculate the factors of 92772 and 92790 and find the biggest common factor number .

Step-1: Prime Factorization of 92772

Prime factors of 92772 are 2, 3, 859. Prime factorization of 92772 in exponential form is:

92772 = 2² × 3³ × 859¹

Step-2: Prime Factorization of 92790

Prime factors of 92790 are 2, 3, 5, 1031. Prime factorization of 92790 in exponential form is:

92790 = 2¹ × 3² × 5¹ × 1031¹

Step-3: Factors of 92772

List of positive integer factors of 92772 that divides 92772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 859, 1718, 2577, 3436, 5154, 7731, 10308, 15462, 23193, 30924, 46386

Step-4: Factors of 92790

List of positive integer factors of 92790 that divides 92772 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1031, 2062, 3093, 5155, 6186, 9279, 10310, 15465, 18558, 30930, 46395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92772 and 92790. The biggest common factor number is the GCF number.
So the greatest common factor 92772 and 92790 is 18.

Also check out the Least Common Multiple of 92772 and 92790