What is the Greatest Common Factor of 91044 and 91062?

Greatest common factor (GCF) of 91044 and 91062 is 18.

GCF(91044,91062) = 18

We will now calculate the prime factors of 91044 and 91062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91044 and 91062.

How to find the GCF of 91044 and 91062?

We will first find the prime factorization of 91044 and 91062. After we will calculate the factors of 91044 and 91062 and find the biggest common factor number .

Step-1: Prime Factorization of 91044

Prime factors of 91044 are 2, 3, 281. Prime factorization of 91044 in exponential form is:

91044 = 2² × 3⁴ × 281¹

Step-2: Prime Factorization of 91062

Prime factors of 91062 are 2, 3, 5059. Prime factorization of 91062 in exponential form is:

91062 = 2¹ × 3² × 5059¹

Step-3: Factors of 91044

List of positive integer factors of 91044 that divides 91044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 281, 324, 562, 843, 1124, 1686, 2529, 3372, 5058, 7587, 10116, 15174, 22761, 30348, 45522

Step-4: Factors of 91062

List of positive integer factors of 91062 that divides 91044 without a remainder.

1, 2, 3, 6, 9, 18, 5059, 10118, 15177, 30354, 45531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91044 and 91062. The biggest common factor number is the GCF number.
So the greatest common factor 91044 and 91062 is 18.

Also check out the Least Common Multiple of 91044 and 91062