What is the Greatest Common Factor of 77605 and 77616?

Greatest common factor (GCF) of 77605 and 77616 is 11.

GCF(77605,77616) = 11

We will now calculate the prime factors of 77605 and 77616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77605 and 77616.

How to find the GCF of 77605 and 77616?

We will first find the prime factorization of 77605 and 77616. After we will calculate the factors of 77605 and 77616 and find the biggest common factor number .

Step-1: Prime Factorization of 77605

Prime factors of 77605 are 5, 11, 17, 83. Prime factorization of 77605 in exponential form is:

77605 = 5¹ × 11¹ × 17¹ × 83¹

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 77605

List of positive integer factors of 77605 that divides 77605 without a remainder.

1, 5, 11, 17, 55, 83, 85, 187, 415, 913, 935, 1411, 4565, 7055, 15521

Step-4: Factors of 77616

List of positive integer factors of 77616 that divides 77605 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 77605 and 77616. The biggest common factor number is the GCF number.
So the greatest common factor 77605 and 77616 is 11.

Also check out the Least Common Multiple of 77605 and 77616