What is the Greatest Common Factor of 76687 and 76704?

Greatest common factor (GCF) of 76687 and 76704 is 17.

GCF(76687,76704) = 17

We will now calculate the prime factors of 76687 and 76704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76687 and 76704.

How to find the GCF of 76687 and 76704?

We will first find the prime factorization of 76687 and 76704. After we will calculate the factors of 76687 and 76704 and find the biggest common factor number .

Step-1: Prime Factorization of 76687

Prime factors of 76687 are 13, 17, 347. Prime factorization of 76687 in exponential form is:

76687 = 13¹ × 17¹ × 347¹

Step-2: 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-3: Factors of 76687

List of positive integer factors of 76687 that divides 76687 without a remainder.

1, 13, 17, 221, 347, 4511, 5899

Step-4: Factors of 76704

List of positive integer factors of 76704 that divides 76687 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76687 and 76704. The biggest common factor number is the GCF number.
So the greatest common factor 76687 and 76704 is 17.

Also check out the Least Common Multiple of 76687 and 76704