What is the Greatest Common Factor of 88275 and 88280?

Greatest common factor (GCF) of 88275 and 88280 is 5.

GCF(88275,88280) = 5

We will now calculate the prime factors of 88275 and 88280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88275 and 88280.

How to find the GCF of 88275 and 88280?

We will first find the prime factorization of 88275 and 88280. After we will calculate the factors of 88275 and 88280 and find the biggest common factor number .

Step-1: Prime Factorization of 88275

Prime factors of 88275 are 3, 5, 11, 107. Prime factorization of 88275 in exponential form is:

88275 = 3¹ × 5² × 11¹ × 107¹

Step-2: Prime Factorization of 88280

Prime factors of 88280 are 2, 5, 2207. Prime factorization of 88280 in exponential form is:

88280 = 2³ × 5¹ × 2207¹

Step-3: Factors of 88275

List of positive integer factors of 88275 that divides 88275 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 107, 165, 275, 321, 535, 825, 1177, 1605, 2675, 3531, 5885, 8025, 17655, 29425

Step-4: Factors of 88280

List of positive integer factors of 88280 that divides 88275 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2207, 4414, 8828, 11035, 17656, 22070, 44140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88275 and 88280. The biggest common factor number is the GCF number.
So the greatest common factor 88275 and 88280 is 5.

Also check out the Least Common Multiple of 88275 and 88280