What is the Greatest Common Factor of 88275 and 88290?

Greatest common factor (GCF) of 88275 and 88290 is 15.

GCF(88275,88290) = 15

We will now calculate the prime factors of 88275 and 88290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88275 and 88290.

How to find the GCF of 88275 and 88290?

We will first find the prime factorization of 88275 and 88290. After we will calculate the factors of 88275 and 88290 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 88290

Prime factors of 88290 are 2, 3, 5, 109. Prime factorization of 88290 in exponential form is:

88290 = 2¹ × 3⁴ × 5¹ × 109¹

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 88290

List of positive integer factors of 88290 that divides 88275 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 109, 135, 162, 218, 270, 327, 405, 545, 654, 810, 981, 1090, 1635, 1962, 2943, 3270, 4905, 5886, 8829, 9810, 14715, 17658, 29430, 44145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88275 and 88290. The biggest common factor number is the GCF number.
So the greatest common factor 88275 and 88290 is 15.

Also check out the Least Common Multiple of 88275 and 88290