What is the Greatest Common Factor of 77616 and 77632?

Greatest common factor (GCF) of 77616 and 77632 is 16.

GCF(77616,77632) = 16

We will now calculate the prime factors of 77616 and 77632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77616 and 77632.

How to find the GCF of 77616 and 77632?

We will first find the prime factorization of 77616 and 77632. After we will calculate the factors of 77616 and 77632 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 77632

Prime factors of 77632 are 2, 1213. Prime factorization of 77632 in exponential form is:

77632 = 2⁶ × 1213¹

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 77632

List of positive integer factors of 77632 that divides 77616 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1213, 2426, 4852, 9704, 19408, 38816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77616 and 77632. The biggest common factor number is the GCF number.
So the greatest common factor 77616 and 77632 is 16.

Also check out the Least Common Multiple of 77616 and 77632