What is the Greatest Common Factor of 76645 and 76660?

Greatest common factor (GCF) of 76645 and 76660 is 5.

GCF(76645,76660) = 5

We will now calculate the prime factors of 76645 and 76660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76645 and 76660.

How to find the GCF of 76645 and 76660?

We will first find the prime factorization of 76645 and 76660. After we will calculate the factors of 76645 and 76660 and find the biggest common factor number .

Step-1: Prime Factorization of 76645

Prime factors of 76645 are 5, 15329. Prime factorization of 76645 in exponential form is:

76645 = 5¹ × 15329¹

Step-2: Prime Factorization of 76660

Prime factors of 76660 are 2, 5, 3833. Prime factorization of 76660 in exponential form is:

76660 = 2² × 5¹ × 3833¹

Step-3: Factors of 76645

List of positive integer factors of 76645 that divides 76645 without a remainder.

1, 5, 15329

Step-4: Factors of 76660

List of positive integer factors of 76660 that divides 76645 without a remainder.

1, 2, 4, 5, 10, 20, 3833, 7666, 15332, 19165, 38330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76645 and 76660. The biggest common factor number is the GCF number.
So the greatest common factor 76645 and 76660 is 5.

Also check out the Least Common Multiple of 76645 and 76660