What is the Greatest Common Factor of 22239 and 22251?

Greatest common factor (GCF) of 22239 and 22251 is 3.

GCF(22239,22251) = 3

We will now calculate the prime factors of 22239 and 22251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22239 and 22251.

How to find the GCF of 22239 and 22251?

We will first find the prime factorization of 22239 and 22251. After we will calculate the factors of 22239 and 22251 and find the biggest common factor number .

Step-1: Prime Factorization of 22239

Prime factors of 22239 are 3, 7, 353. Prime factorization of 22239 in exponential form is:

22239 = 3² × 7¹ × 353¹

Step-2: Prime Factorization of 22251

Prime factors of 22251 are 3, 7417. Prime factorization of 22251 in exponential form is:

22251 = 3¹ × 7417¹

Step-3: Factors of 22239

List of positive integer factors of 22239 that divides 22239 without a remainder.

1, 3, 7, 9, 21, 63, 353, 1059, 2471, 3177, 7413

Step-4: Factors of 22251

List of positive integer factors of 22251 that divides 22239 without a remainder.

1, 3, 7417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22239 and 22251. The biggest common factor number is the GCF number.
So the greatest common factor 22239 and 22251 is 3.

Also check out the Least Common Multiple of 22239 and 22251