What is the Greatest Common Factor of 88925 and 88930?

Greatest common factor (GCF) of 88925 and 88930 is 5.

GCF(88925,88930) = 5

We will now calculate the prime factors of 88925 and 88930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88925 and 88930.

How to find the GCF of 88925 and 88930?

We will first find the prime factorization of 88925 and 88930. After we will calculate the factors of 88925 and 88930 and find the biggest common factor number .

Step-1: Prime Factorization of 88925

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

88925 = 5² × 3557¹

Step-2: Prime Factorization of 88930

Prime factors of 88930 are 2, 5, 8893. Prime factorization of 88930 in exponential form is:

88930 = 2¹ × 5¹ × 8893¹

Step-3: Factors of 88925

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

1, 5, 25, 3557, 17785

Step-4: Factors of 88930

List of positive integer factors of 88930 that divides 88925 without a remainder.

1, 2, 5, 10, 8893, 17786, 44465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88925 and 88930. The biggest common factor number is the GCF number.
So the greatest common factor 88925 and 88930 is 5.

Also check out the Least Common Multiple of 88925 and 88930