What is the Greatest Common Factor of 91125 and 91134?

Greatest common factor (GCF) of 91125 and 91134 is 9.

GCF(91125,91134) = 9

We will now calculate the prime factors of 91125 and 91134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91125 and 91134.

How to find the GCF of 91125 and 91134?

We will first find the prime factorization of 91125 and 91134. After we will calculate the factors of 91125 and 91134 and find the biggest common factor number .

Step-1: Prime Factorization of 91125

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

91125 = 3⁶ × 5³

Step-2: Prime Factorization of 91134

Prime factors of 91134 are 2, 3, 61, 83. Prime factorization of 91134 in exponential form is:

91134 = 2¹ × 3² × 61¹ × 83¹

Step-3: Factors of 91125

List of positive integer factors of 91125 that divides 91125 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

Step-4: Factors of 91134

List of positive integer factors of 91134 that divides 91125 without a remainder.

1, 2, 3, 6, 9, 18, 61, 83, 122, 166, 183, 249, 366, 498, 549, 747, 1098, 1494, 5063, 10126, 15189, 30378, 45567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91125 and 91134. The biggest common factor number is the GCF number.
So the greatest common factor 91125 and 91134 is 9.

Also check out the Least Common Multiple of 91125 and 91134