What is the Greatest Common Factor of 91509 and 91516?

Greatest common factor (GCF) of 91509 and 91516 is 1.

GCF(91509,91516) = 1

We will now calculate the prime factors of 91509 and 91516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91509 and 91516.

How to find the GCF of 91509 and 91516?

We will first find the prime factorization of 91509 and 91516. After we will calculate the factors of 91509 and 91516 and find the biggest common factor number .

Step-1: Prime Factorization of 91509

Prime factors of 91509 are 3, 11, 47, 59. Prime factorization of 91509 in exponential form is:

91509 = 3¹ × 11¹ × 47¹ × 59¹

Step-2: Prime Factorization of 91516

Prime factors of 91516 are 2, 137, 167. Prime factorization of 91516 in exponential form is:

91516 = 2² × 137¹ × 167¹

Step-3: Factors of 91509

List of positive integer factors of 91509 that divides 91509 without a remainder.

1, 3, 11, 33, 47, 59, 141, 177, 517, 649, 1551, 1947, 2773, 8319, 30503

Step-4: Factors of 91516

List of positive integer factors of 91516 that divides 91509 without a remainder.

1, 2, 4, 137, 167, 274, 334, 548, 668, 22879, 45758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91509 and 91516. The biggest common factor number is the GCF number.
So the greatest common factor 91509 and 91516 is 1.

Also check out the Least Common Multiple of 91509 and 91516