What is the Greatest Common Factor of 88275 and 88289?

Greatest common factor (GCF) of 88275 and 88289 is 1.

GCF(88275,88289) = 1

We will now calculate the prime factors of 88275 and 88289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88275 and 88289.

How to find the GCF of 88275 and 88289?

We will first find the prime factorization of 88275 and 88289. After we will calculate the factors of 88275 and 88289 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 88289

Prime factors of 88289 are 88289. Prime factorization of 88289 in exponential form is:

88289 = 88289¹

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 88289

List of positive integer factors of 88289 that divides 88275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88275 and 88289. The biggest common factor number is the GCF number.
So the greatest common factor 88275 and 88289 is 1.

Also check out the Least Common Multiple of 88275 and 88289