What is the Greatest Common Factor of 91645 and 91660?

Greatest common factor (GCF) of 91645 and 91660 is 5.

GCF(91645,91660) = 5

We will now calculate the prime factors of 91645 and 91660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91645 and 91660.

How to find the GCF of 91645 and 91660?

We will first find the prime factorization of 91645 and 91660. After we will calculate the factors of 91645 and 91660 and find the biggest common factor number .

Step-1: Prime Factorization of 91645

Prime factors of 91645 are 5, 18329. Prime factorization of 91645 in exponential form is:

91645 = 5¹ × 18329¹

Step-2: Prime Factorization of 91660

Prime factors of 91660 are 2, 5, 4583. Prime factorization of 91660 in exponential form is:

91660 = 2² × 5¹ × 4583¹

Step-3: Factors of 91645

List of positive integer factors of 91645 that divides 91645 without a remainder.

1, 5, 18329

Step-4: Factors of 91660

List of positive integer factors of 91660 that divides 91645 without a remainder.

1, 2, 4, 5, 10, 20, 4583, 9166, 18332, 22915, 45830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91645 and 91660. The biggest common factor number is the GCF number.
So the greatest common factor 91645 and 91660 is 5.

Also check out the Least Common Multiple of 91645 and 91660