What is the Greatest Common Factor of 77616 and 77623?

Greatest common factor (GCF) of 77616 and 77623 is 7.

GCF(77616,77623) = 7

We will now calculate the prime factors of 77616 and 77623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77616 and 77623.

How to find the GCF of 77616 and 77623?

We will first find the prime factorization of 77616 and 77623. After we will calculate the factors of 77616 and 77623 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 77623

Prime factors of 77623 are 7, 13, 853. Prime factorization of 77623 in exponential form is:

77623 = 7¹ × 13¹ × 853¹

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 77623

List of positive integer factors of 77623 that divides 77616 without a remainder.

1, 7, 13, 91, 853, 5971, 11089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77616 and 77623. The biggest common factor number is the GCF number.
So the greatest common factor 77616 and 77623 is 7.

Also check out the Least Common Multiple of 77616 and 77623