What is the Greatest Common Factor of 77904 and 77916?

Greatest common factor (GCF) of 77904 and 77916 is 12.

GCF(77904,77916) = 12

We will now calculate the prime factors of 77904 and 77916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77904 and 77916.

How to find the GCF of 77904 and 77916?

We will first find the prime factorization of 77904 and 77916. After we will calculate the factors of 77904 and 77916 and find the biggest common factor number .

Step-1: Prime Factorization of 77904

Prime factors of 77904 are 2, 3, 541. Prime factorization of 77904 in exponential form is:

77904 = 2⁴ × 3² × 541¹

Step-2: Prime Factorization of 77916

Prime factors of 77916 are 2, 3, 43, 151. Prime factorization of 77916 in exponential form is:

77916 = 2² × 3¹ × 43¹ × 151¹

Step-3: Factors of 77904

List of positive integer factors of 77904 that divides 77904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 541, 1082, 1623, 2164, 3246, 4328, 4869, 6492, 8656, 9738, 12984, 19476, 25968, 38952

Step-4: Factors of 77916

List of positive integer factors of 77916 that divides 77904 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 151, 172, 258, 302, 453, 516, 604, 906, 1812, 6493, 12986, 19479, 25972, 38958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77904 and 77916. The biggest common factor number is the GCF number.
So the greatest common factor 77904 and 77916 is 12.

Also check out the Least Common Multiple of 77904 and 77916