What is the Greatest Common Factor of 91850 and 91870?

Greatest common factor (GCF) of 91850 and 91870 is 10.

GCF(91850,91870) = 10

We will now calculate the prime factors of 91850 and 91870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91850 and 91870.

How to find the GCF of 91850 and 91870?

We will first find the prime factorization of 91850 and 91870. After we will calculate the factors of 91850 and 91870 and find the biggest common factor number .

Step-1: Prime Factorization of 91850

Prime factors of 91850 are 2, 5, 11, 167. Prime factorization of 91850 in exponential form is:

91850 = 2¹ × 5² × 11¹ × 167¹

Step-2: 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-3: Factors of 91850

List of positive integer factors of 91850 that divides 91850 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 167, 275, 334, 550, 835, 1670, 1837, 3674, 4175, 8350, 9185, 18370, 45925

Step-4: Factors of 91870

List of positive integer factors of 91870 that divides 91850 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91850 and 91870. The biggest common factor number is the GCF number.
So the greatest common factor 91850 and 91870 is 10.

Also check out the Least Common Multiple of 91850 and 91870