What is the Greatest Common Factor of 77908 and 77916?

Greatest common factor (GCF) of 77908 and 77916 is 4.

GCF(77908,77916) = 4

We will now calculate the prime factors of 77908 and 77916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77908 and 77916.

How to find the GCF of 77908 and 77916?

We will first find the prime factorization of 77908 and 77916. After we will calculate the factors of 77908 and 77916 and find the biggest common factor number .

Step-1: Prime Factorization of 77908

Prime factors of 77908 are 2, 19477. Prime factorization of 77908 in exponential form is:

77908 = 2² × 19477¹

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 77908

List of positive integer factors of 77908 that divides 77908 without a remainder.

1, 2, 4, 19477, 38954

Step-4: Factors of 77916

List of positive integer factors of 77916 that divides 77908 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 77908 and 77916. The biggest common factor number is the GCF number.
So the greatest common factor 77908 and 77916 is 4.

Also check out the Least Common Multiple of 77908 and 77916