What is the Greatest Common Factor of 91100 and 91120?

Greatest common factor (GCF) of 91100 and 91120 is 20.

GCF(91100,91120) = 20

We will now calculate the prime factors of 91100 and 91120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91100 and 91120.

How to find the GCF of 91100 and 91120?

We will first find the prime factorization of 91100 and 91120. After we will calculate the factors of 91100 and 91120 and find the biggest common factor number .

Step-1: Prime Factorization of 91100

Prime factors of 91100 are 2, 5, 911. Prime factorization of 91100 in exponential form is:

91100 = 2² × 5² × 911¹

Step-2: Prime Factorization of 91120

Prime factors of 91120 are 2, 5, 17, 67. Prime factorization of 91120 in exponential form is:

91120 = 2⁴ × 5¹ × 17¹ × 67¹

Step-3: Factors of 91100

List of positive integer factors of 91100 that divides 91100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 911, 1822, 3644, 4555, 9110, 18220, 22775, 45550

Step-4: Factors of 91120

List of positive integer factors of 91120 that divides 91100 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 67, 68, 80, 85, 134, 136, 170, 268, 272, 335, 340, 536, 670, 680, 1072, 1139, 1340, 1360, 2278, 2680, 4556, 5360, 5695, 9112, 11390, 18224, 22780, 45560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91100 and 91120. The biggest common factor number is the GCF number.
So the greatest common factor 91100 and 91120 is 20.

Also check out the Least Common Multiple of 91100 and 91120