What is the Greatest Common Factor of 88275 and 88286?

Greatest common factor (GCF) of 88275 and 88286 is 11.

GCF(88275,88286) = 11

We will now calculate the prime factors of 88275 and 88286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88275 and 88286.

How to find the GCF of 88275 and 88286?

We will first find the prime factorization of 88275 and 88286. After we will calculate the factors of 88275 and 88286 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 88286

Prime factors of 88286 are 2, 11, 4013. Prime factorization of 88286 in exponential form is:

88286 = 2¹ × 11¹ × 4013¹

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 88286

List of positive integer factors of 88286 that divides 88275 without a remainder.

1, 2, 11, 22, 4013, 8026, 44143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88275 and 88286. The biggest common factor number is the GCF number.
So the greatest common factor 88275 and 88286 is 11.

Also check out the Least Common Multiple of 88275 and 88286