What is the Greatest Common Factor of 77628 and 77639?

Greatest common factor (GCF) of 77628 and 77639 is 1.

GCF(77628,77639) = 1

We will now calculate the prime factors of 77628 and 77639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77628 and 77639.

How to find the GCF of 77628 and 77639?

We will first find the prime factorization of 77628 and 77639. After we will calculate the factors of 77628 and 77639 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 77639

Prime factors of 77639 are 17, 4567. Prime factorization of 77639 in exponential form is:

77639 = 17¹ × 4567¹

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 77639

List of positive integer factors of 77639 that divides 77628 without a remainder.

1, 17, 4567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77628 and 77639. The biggest common factor number is the GCF number.
So the greatest common factor 77628 and 77639 is 1.

Also check out the Least Common Multiple of 77628 and 77639