What is the Greatest Common Factor of 88239 and 88257?

Greatest common factor (GCF) of 88239 and 88257 is 3.

GCF(88239,88257) = 3

We will now calculate the prime factors of 88239 and 88257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88239 and 88257.

How to find the GCF of 88239 and 88257?

We will first find the prime factorization of 88239 and 88257. After we will calculate the factors of 88239 and 88257 and find the biggest common factor number .

Step-1: Prime Factorization of 88239

Prime factors of 88239 are 3, 67, 439. Prime factorization of 88239 in exponential form is:

88239 = 3¹ × 67¹ × 439¹

Step-2: 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-3: Factors of 88239

List of positive integer factors of 88239 that divides 88239 without a remainder.

1, 3, 67, 201, 439, 1317, 29413

Step-4: Factors of 88257

List of positive integer factors of 88257 that divides 88239 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88239 and 88257. The biggest common factor number is the GCF number.
So the greatest common factor 88239 and 88257 is 3.

Also check out the Least Common Multiple of 88239 and 88257