What is the Greatest Common Factor of 88908 and 88925?

Greatest common factor (GCF) of 88908 and 88925 is 1.

GCF(88908,88925) = 1

We will now calculate the prime factors of 88908 and 88925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88908 and 88925.

How to find the GCF of 88908 and 88925?

We will first find the prime factorization of 88908 and 88925. After we will calculate the factors of 88908 and 88925 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 88925

Prime factors of 88925 are 5, 3557. Prime factorization of 88925 in exponential form is:

88925 = 5² × 3557¹

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 88925

List of positive integer factors of 88925 that divides 88908 without a remainder.

1, 5, 25, 3557, 17785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88908 and 88925. The biggest common factor number is the GCF number.
So the greatest common factor 88908 and 88925 is 1.

Also check out the Least Common Multiple of 88908 and 88925