What is the Greatest Common Factor of 91090 and 91100?

Greatest common factor (GCF) of 91090 and 91100 is 10.

GCF(91090,91100) = 10

We will now calculate the prime factors of 91090 and 91100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91090 and 91100.

How to find the GCF of 91090 and 91100?

We will first find the prime factorization of 91090 and 91100. After we will calculate the factors of 91090 and 91100 and find the biggest common factor number .

Step-1: Prime Factorization of 91090

Prime factors of 91090 are 2, 5, 9109. Prime factorization of 91090 in exponential form is:

91090 = 2¹ × 5¹ × 9109¹

Step-2: 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-3: Factors of 91090

List of positive integer factors of 91090 that divides 91090 without a remainder.

1, 2, 5, 10, 9109, 18218, 45545

Step-4: Factors of 91100

List of positive integer factors of 91100 that divides 91090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91090 and 91100. The biggest common factor number is the GCF number.
So the greatest common factor 91090 and 91100 is 10.

Also check out the Least Common Multiple of 91090 and 91100