What is the Greatest Common Factor of 77609 and 77616?

Greatest common factor (GCF) of 77609 and 77616 is 7.

GCF(77609,77616) = 7

We will now calculate the prime factors of 77609 and 77616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77609 and 77616.

How to find the GCF of 77609 and 77616?

We will first find the prime factorization of 77609 and 77616. After we will calculate the factors of 77609 and 77616 and find the biggest common factor number .

Step-1: Prime Factorization of 77609

Prime factors of 77609 are 7, 11087. Prime factorization of 77609 in exponential form is:

77609 = 7¹ × 11087¹

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 77609

List of positive integer factors of 77609 that divides 77609 without a remainder.

1, 7, 11087

Step-4: Factors of 77616

List of positive integer factors of 77616 that divides 77609 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 77609 and 77616. The biggest common factor number is the GCF number.
So the greatest common factor 77609 and 77616 is 7.

Also check out the Least Common Multiple of 77609 and 77616