What is the Greatest Common Factor of 77616 and 77627?

Greatest common factor (GCF) of 77616 and 77627 is 11.

GCF(77616,77627) = 11

We will now calculate the prime factors of 77616 and 77627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77616 and 77627.

How to find the GCF of 77616 and 77627?

We will first find the prime factorization of 77616 and 77627. After we will calculate the factors of 77616 and 77627 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 77627

Prime factors of 77627 are 11, 7057. Prime factorization of 77627 in exponential form is:

77627 = 11¹ × 7057¹

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 77627

List of positive integer factors of 77627 that divides 77616 without a remainder.

1, 11, 7057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77616 and 77627. The biggest common factor number is the GCF number.
So the greatest common factor 77616 and 77627 is 11.

Also check out the Least Common Multiple of 77616 and 77627