What is the Greatest Common Factor of 88908 and 88916?

Greatest common factor (GCF) of 88908 and 88916 is 4.

GCF(88908,88916) = 4

We will now calculate the prime factors of 88908 and 88916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88908 and 88916.

How to find the GCF of 88908 and 88916?

We will first find the prime factorization of 88908 and 88916. After we will calculate the factors of 88908 and 88916 and find the biggest common factor number .

Step-1: Prime Factorization of 88908

Prime factors of 88908 are 2, 3, 31, 239. Prime factorization of 88908 in exponential form is:

88908 = 2² × 3¹ × 31¹ × 239¹

Step-2: Prime Factorization of 88916

Prime factors of 88916 are 2, 22229. Prime factorization of 88916 in exponential form is:

88916 = 2² × 22229¹

Step-3: Factors of 88908

List of positive integer factors of 88908 that divides 88908 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 239, 372, 478, 717, 956, 1434, 2868, 7409, 14818, 22227, 29636, 44454

Step-4: Factors of 88916

List of positive integer factors of 88916 that divides 88908 without a remainder.

1, 2, 4, 22229, 44458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88908 and 88916. The biggest common factor number is the GCF number.
So the greatest common factor 88908 and 88916 is 4.

Also check out the Least Common Multiple of 88908 and 88916