What is the Greatest Common Factor of 76704 and 76719?

Greatest common factor (GCF) of 76704 and 76719 is 3.

GCF(76704,76719) = 3

We will now calculate the prime factors of 76704 and 76719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76704 and 76719.

How to find the GCF of 76704 and 76719?

We will first find the prime factorization of 76704 and 76719. After we will calculate the factors of 76704 and 76719 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 76719

Prime factors of 76719 are 3, 107, 239. Prime factorization of 76719 in exponential form is:

76719 = 3¹ × 107¹ × 239¹

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 76719

List of positive integer factors of 76719 that divides 76704 without a remainder.

1, 3, 107, 239, 321, 717, 25573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76704 and 76719. The biggest common factor number is the GCF number.
So the greatest common factor 76704 and 76719 is 3.

Also check out the Least Common Multiple of 76704 and 76719