What is the Greatest Common Factor of 91119 and 91125?

Greatest common factor (GCF) of 91119 and 91125 is 3.

GCF(91119,91125) = 3

We will now calculate the prime factors of 91119 and 91125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91119 and 91125.

How to find the GCF of 91119 and 91125?

We will first find the prime factorization of 91119 and 91125. After we will calculate the factors of 91119 and 91125 and find the biggest common factor number .

Step-1: Prime Factorization of 91119

Prime factors of 91119 are 3, 7, 4339. Prime factorization of 91119 in exponential form is:

91119 = 3¹ × 7¹ × 4339¹

Step-2: Prime Factorization of 91125

Prime factors of 91125 are 3, 5. Prime factorization of 91125 in exponential form is:

91125 = 3⁶ × 5³

Step-3: Factors of 91119

List of positive integer factors of 91119 that divides 91119 without a remainder.

1, 3, 7, 21, 4339, 13017, 30373

Step-4: Factors of 91125

List of positive integer factors of 91125 that divides 91119 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 243, 375, 405, 675, 729, 1125, 1215, 2025, 3375, 3645, 6075, 10125, 18225, 30375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91119 and 91125. The biggest common factor number is the GCF number.
So the greatest common factor 91119 and 91125 is 3.

Also check out the Least Common Multiple of 91119 and 91125