What is the Greatest Common Factor of 22437 and 22452?

Greatest common factor (GCF) of 22437 and 22452 is 3.

GCF(22437,22452) = 3

We will now calculate the prime factors of 22437 and 22452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22437 and 22452.

How to find the GCF of 22437 and 22452?

We will first find the prime factorization of 22437 and 22452. After we will calculate the factors of 22437 and 22452 and find the biggest common factor number .

Step-1: Prime Factorization of 22437

Prime factors of 22437 are 3, 277. Prime factorization of 22437 in exponential form is:

22437 = 3⁴ × 277¹

Step-2: Prime Factorization of 22452

Prime factors of 22452 are 2, 3, 1871. Prime factorization of 22452 in exponential form is:

22452 = 2² × 3¹ × 1871¹

Step-3: Factors of 22437

List of positive integer factors of 22437 that divides 22437 without a remainder.

1, 3, 9, 27, 81, 277, 831, 2493, 7479

Step-4: Factors of 22452

List of positive integer factors of 22452 that divides 22437 without a remainder.

1, 2, 3, 4, 6, 12, 1871, 3742, 5613, 7484, 11226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22437 and 22452. The biggest common factor number is the GCF number.
So the greatest common factor 22437 and 22452 is 3.

Also check out the Least Common Multiple of 22437 and 22452