What is the Greatest Common Factor of 79645 and 79660?

Greatest common factor (GCF) of 79645 and 79660 is 5.

GCF(79645,79660) = 5

We will now calculate the prime factors of 79645 and 79660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79645 and 79660.

How to find the GCF of 79645 and 79660?

We will first find the prime factorization of 79645 and 79660. After we will calculate the factors of 79645 and 79660 and find the biggest common factor number .

Step-1: Prime Factorization of 79645

Prime factors of 79645 are 5, 17, 937. Prime factorization of 79645 in exponential form is:

79645 = 5¹ × 17¹ × 937¹

Step-2: Prime Factorization of 79660

Prime factors of 79660 are 2, 5, 7, 569. Prime factorization of 79660 in exponential form is:

79660 = 2² × 5¹ × 7¹ × 569¹

Step-3: Factors of 79645

List of positive integer factors of 79645 that divides 79645 without a remainder.

1, 5, 17, 85, 937, 4685, 15929

Step-4: Factors of 79660

List of positive integer factors of 79660 that divides 79645 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 569, 1138, 2276, 2845, 3983, 5690, 7966, 11380, 15932, 19915, 39830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79645 and 79660. The biggest common factor number is the GCF number.
So the greatest common factor 79645 and 79660 is 5.

Also check out the Least Common Multiple of 79645 and 79660