What is the Greatest Common Factor of 91870 and 91880?

Greatest common factor (GCF) of 91870 and 91880 is 10.

GCF(91870,91880) = 10

We will now calculate the prime factors of 91870 and 91880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91870 and 91880.

How to find the GCF of 91870 and 91880?

We will first find the prime factorization of 91870 and 91880. After we will calculate the factors of 91870 and 91880 and find the biggest common factor number .

Step-1: Prime Factorization of 91870

Prime factors of 91870 are 2, 5, 9187. Prime factorization of 91870 in exponential form is:

91870 = 2¹ × 5¹ × 9187¹

Step-2: Prime Factorization of 91880

Prime factors of 91880 are 2, 5, 2297. Prime factorization of 91880 in exponential form is:

91880 = 2³ × 5¹ × 2297¹

Step-3: Factors of 91870

List of positive integer factors of 91870 that divides 91870 without a remainder.

1, 2, 5, 10, 9187, 18374, 45935

Step-4: Factors of 91880

List of positive integer factors of 91880 that divides 91870 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2297, 4594, 9188, 11485, 18376, 22970, 45940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91870 and 91880. The biggest common factor number is the GCF number.
So the greatest common factor 91870 and 91880 is 10.

Also check out the Least Common Multiple of 91870 and 91880