What is the Greatest Common Factor of 88257 and 88263?

Greatest common factor (GCF) of 88257 and 88263 is 3.

GCF(88257,88263) = 3

We will now calculate the prime factors of 88257 and 88263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88257 and 88263.

How to find the GCF of 88257 and 88263?

We will first find the prime factorization of 88257 and 88263. After we will calculate the factors of 88257 and 88263 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 88263

Prime factors of 88263 are 3, 7, 467. Prime factorization of 88263 in exponential form is:

88263 = 3³ × 7¹ × 467¹

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 88263

List of positive integer factors of 88263 that divides 88257 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 467, 1401, 3269, 4203, 9807, 12609, 29421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88257 and 88263. The biggest common factor number is the GCF number.
So the greatest common factor 88257 and 88263 is 3.

Also check out the Least Common Multiple of 88257 and 88263