What is the Greatest Common Factor of 77604 and 77616?

Greatest common factor (GCF) of 77604 and 77616 is 12.

GCF(77604,77616) = 12

We will now calculate the prime factors of 77604 and 77616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77604 and 77616.

How to find the GCF of 77604 and 77616?

We will first find the prime factorization of 77604 and 77616. After we will calculate the factors of 77604 and 77616 and find the biggest common factor number .

Step-1: Prime Factorization of 77604

Prime factors of 77604 are 2, 3, 29, 223. Prime factorization of 77604 in exponential form is:

77604 = 2² × 3¹ × 29¹ × 223¹

Step-2: 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-3: Factors of 77604

List of positive integer factors of 77604 that divides 77604 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 223, 348, 446, 669, 892, 1338, 2676, 6467, 12934, 19401, 25868, 38802

Step-4: Factors of 77616

List of positive integer factors of 77616 that divides 77604 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77604 and 77616. The biggest common factor number is the GCF number.
So the greatest common factor 77604 and 77616 is 12.

Also check out the Least Common Multiple of 77604 and 77616