What is the Greatest Common Factor of 88257 and 88275?

Greatest common factor (GCF) of 88257 and 88275 is 3.

GCF(88257,88275) = 3

We will now calculate the prime factors of 88257 and 88275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88257 and 88275.

How to find the GCF of 88257 and 88275?

We will first find the prime factorization of 88257 and 88275. After we will calculate the factors of 88257 and 88275 and find the biggest common factor number .

Step-1: Prime Factorization of 88257

Prime factors of 88257 are 3, 13, 31, 73. Prime factorization of 88257 in exponential form is:

88257 = 3¹ × 13¹ × 31¹ × 73¹

Step-2: 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-3: Factors of 88257

List of positive integer factors of 88257 that divides 88257 without a remainder.

1, 3, 13, 31, 39, 73, 93, 219, 403, 949, 1209, 2263, 2847, 6789, 29419

Step-4: Factors of 88275

List of positive integer factors of 88275 that divides 88257 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88257 and 88275. The biggest common factor number is the GCF number.
So the greatest common factor 88257 and 88275 is 3.

Also check out the Least Common Multiple of 88257 and 88275