What is the Greatest Common Factor of 77628 and 77640?

Greatest common factor (GCF) of 77628 and 77640 is 12.

GCF(77628,77640) = 12

We will now calculate the prime factors of 77628 and 77640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77628 and 77640.

How to find the GCF of 77628 and 77640?

We will first find the prime factorization of 77628 and 77640. After we will calculate the factors of 77628 and 77640 and find the biggest common factor number .

Step-1: Prime Factorization of 77628

Prime factors of 77628 are 2, 3, 6469. Prime factorization of 77628 in exponential form is:

77628 = 2² × 3¹ × 6469¹

Step-2: Prime Factorization of 77640

Prime factors of 77640 are 2, 3, 5, 647. Prime factorization of 77640 in exponential form is:

77640 = 2³ × 3¹ × 5¹ × 647¹

Step-3: Factors of 77628

List of positive integer factors of 77628 that divides 77628 without a remainder.

1, 2, 3, 4, 6, 12, 6469, 12938, 19407, 25876, 38814

Step-4: Factors of 77640

List of positive integer factors of 77640 that divides 77628 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 647, 1294, 1941, 2588, 3235, 3882, 5176, 6470, 7764, 9705, 12940, 15528, 19410, 25880, 38820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77628 and 77640. The biggest common factor number is the GCF number.
So the greatest common factor 77628 and 77640 is 12.

Also check out the Least Common Multiple of 77628 and 77640