What is the Greatest Common Factor of 91875 and 91889?

Greatest common factor (GCF) of 91875 and 91889 is 7.

GCF(91875,91889) = 7

We will now calculate the prime factors of 91875 and 91889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91875 and 91889.

How to find the GCF of 91875 and 91889?

We will first find the prime factorization of 91875 and 91889. After we will calculate the factors of 91875 and 91889 and find the biggest common factor number .

Step-1: Prime Factorization of 91875

Prime factors of 91875 are 3, 5, 7. Prime factorization of 91875 in exponential form is:

91875 = 3¹ × 5⁴ × 7²

Step-2: Prime Factorization of 91889

Prime factors of 91889 are 7, 13127. Prime factorization of 91889 in exponential form is:

91889 = 7¹ × 13127¹

Step-3: Factors of 91875

List of positive integer factors of 91875 that divides 91875 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 125, 147, 175, 245, 375, 525, 625, 735, 875, 1225, 1875, 2625, 3675, 4375, 6125, 13125, 18375, 30625

Step-4: Factors of 91889

List of positive integer factors of 91889 that divides 91875 without a remainder.

1, 7, 13127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91875 and 91889. The biggest common factor number is the GCF number.
So the greatest common factor 91875 and 91889 is 7.

Also check out the Least Common Multiple of 91875 and 91889