What is the Greatest Common Factor of 76704 and 76716?

Greatest common factor (GCF) of 76704 and 76716 is 12.

GCF(76704,76716) = 12

We will now calculate the prime factors of 76704 and 76716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76704 and 76716.

How to find the GCF of 76704 and 76716?

We will first find the prime factorization of 76704 and 76716. After we will calculate the factors of 76704 and 76716 and find the biggest common factor number .

Step-1: Prime Factorization of 76704

Prime factors of 76704 are 2, 3, 17, 47. Prime factorization of 76704 in exponential form is:

76704 = 2⁵ × 3¹ × 17¹ × 47¹

Step-2: Prime Factorization of 76716

Prime factors of 76716 are 2, 3, 2131. Prime factorization of 76716 in exponential form is:

76716 = 2² × 3² × 2131¹

Step-3: Factors of 76704

List of positive integer factors of 76704 that divides 76704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 47, 48, 51, 68, 94, 96, 102, 136, 141, 188, 204, 272, 282, 376, 408, 544, 564, 752, 799, 816, 1128, 1504, 1598, 1632, 2256, 2397, 3196, 4512, 4794, 6392, 9588, 12784, 19176, 25568, 38352

Step-4: Factors of 76716

List of positive integer factors of 76716 that divides 76704 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2131, 4262, 6393, 8524, 12786, 19179, 25572, 38358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76704 and 76716. The biggest common factor number is the GCF number.
So the greatest common factor 76704 and 76716 is 12.

Also check out the Least Common Multiple of 76704 and 76716