What is the Greatest Common Factor of 88018 and 88025?

Greatest common factor (GCF) of 88018 and 88025 is 7.

GCF(88018,88025) = 7

We will now calculate the prime factors of 88018 and 88025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88018 and 88025.

How to find the GCF of 88018 and 88025?

We will first find the prime factorization of 88018 and 88025. After we will calculate the factors of 88018 and 88025 and find the biggest common factor number .

Step-1: Prime Factorization of 88018

Prime factors of 88018 are 2, 7, 6287. Prime factorization of 88018 in exponential form is:

88018 = 2¹ × 7¹ × 6287¹

Step-2: Prime Factorization of 88025

Prime factors of 88025 are 5, 7, 503. Prime factorization of 88025 in exponential form is:

88025 = 5² × 7¹ × 503¹

Step-3: Factors of 88018

List of positive integer factors of 88018 that divides 88018 without a remainder.

1, 2, 7, 14, 6287, 12574, 44009

Step-4: Factors of 88025

List of positive integer factors of 88025 that divides 88018 without a remainder.

1, 5, 7, 25, 35, 175, 503, 2515, 3521, 12575, 17605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88018 and 88025. The biggest common factor number is the GCF number.
So the greatest common factor 88018 and 88025 is 7.

Also check out the Least Common Multiple of 88018 and 88025