What is the Greatest Common Factor of 77628 and 77644?

Greatest common factor (GCF) of 77628 and 77644 is 4.

GCF(77628,77644) = 4

We will now calculate the prime factors of 77628 and 77644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77628 and 77644.

How to find the GCF of 77628 and 77644?

We will first find the prime factorization of 77628 and 77644. After we will calculate the factors of 77628 and 77644 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 77644

Prime factors of 77644 are 2, 7, 47, 59. Prime factorization of 77644 in exponential form is:

77644 = 2² × 7¹ × 47¹ × 59¹

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 77644

List of positive integer factors of 77644 that divides 77628 without a remainder.

1, 2, 4, 7, 14, 28, 47, 59, 94, 118, 188, 236, 329, 413, 658, 826, 1316, 1652, 2773, 5546, 11092, 19411, 38822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77628 and 77644. The biggest common factor number is the GCF number.
So the greatest common factor 77628 and 77644 is 4.

Also check out the Least Common Multiple of 77628 and 77644