What is the Greatest Common Factor of 91325 and 91338?

Greatest common factor (GCF) of 91325 and 91338 is 13.

GCF(91325,91338) = 13

We will now calculate the prime factors of 91325 and 91338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91325 and 91338.

How to find the GCF of 91325 and 91338?

We will first find the prime factorization of 91325 and 91338. After we will calculate the factors of 91325 and 91338 and find the biggest common factor number .

Step-1: Prime Factorization of 91325

Prime factors of 91325 are 5, 13, 281. Prime factorization of 91325 in exponential form is:

91325 = 5² × 13¹ × 281¹

Step-2: Prime Factorization of 91338

Prime factors of 91338 are 2, 3, 13, 1171. Prime factorization of 91338 in exponential form is:

91338 = 2¹ × 3¹ × 13¹ × 1171¹

Step-3: Factors of 91325

List of positive integer factors of 91325 that divides 91325 without a remainder.

1, 5, 13, 25, 65, 281, 325, 1405, 3653, 7025, 18265

Step-4: Factors of 91338

List of positive integer factors of 91338 that divides 91325 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1171, 2342, 3513, 7026, 15223, 30446, 45669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91325 and 91338. The biggest common factor number is the GCF number.
So the greatest common factor 91325 and 91338 is 13.

Also check out the Least Common Multiple of 91325 and 91338