What is the Greatest Common Factor of 77616 and 77628?

Greatest common factor (GCF) of 77616 and 77628 is 12.

GCF(77616,77628) = 12

We will now calculate the prime factors of 77616 and 77628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77616 and 77628.

How to find the GCF of 77616 and 77628?

We will first find the prime factorization of 77616 and 77628. After we will calculate the factors of 77616 and 77628 and find the biggest common factor number .

Step-1: Prime Factorization of 77616

Prime factors of 77616 are 2, 3, 7, 11. Prime factorization of 77616 in exponential form is:

77616 = 2⁴ × 3² × 7² × 11¹

Step-2: 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-3: Factors of 77616

List of positive integer factors of 77616 that divides 77616 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 28, 33, 36, 42, 44, 48, 49, 56, 63, 66, 72, 77, 84, 88, 98, 99, 112, 126, 132, 144, 147, 154, 168, 176, 196, 198, 231, 252, 264, 294, 308, 336, 392, 396, 441, 462, 504, 528, 539, 588, 616, 693, 784, 792, 882, 924, 1008, 1078, 1176, 1232, 1386, 1584, 1617, 1764, 1848, 2156, 2352, 2772, 3234, 3528, 3696, 4312, 4851, 5544, 6468, 7056, 8624, 9702, 11088, 12936, 19404, 25872, 38808

Step-4: Factors of 77628

List of positive integer factors of 77628 that divides 77616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77616 and 77628. The biggest common factor number is the GCF number.
So the greatest common factor 77616 and 77628 is 12.

Also check out the Least Common Multiple of 77616 and 77628