What is the Greatest Common Factor of 22131 and 22140?

Greatest common factor (GCF) of 22131 and 22140 is 9.

GCF(22131,22140) = 9

We will now calculate the prime factors of 22131 and 22140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22131 and 22140.

How to find the GCF of 22131 and 22140?

We will first find the prime factorization of 22131 and 22140. After we will calculate the factors of 22131 and 22140 and find the biggest common factor number .

Step-1: Prime Factorization of 22131

Prime factors of 22131 are 3, 2459. Prime factorization of 22131 in exponential form is:

22131 = 3² × 2459¹

Step-2: Prime Factorization of 22140

Prime factors of 22140 are 2, 3, 5, 41. Prime factorization of 22140 in exponential form is:

22140 = 2² × 3³ × 5¹ × 41¹

Step-3: Factors of 22131

List of positive integer factors of 22131 that divides 22131 without a remainder.

1, 3, 9, 2459, 7377

Step-4: Factors of 22140

List of positive integer factors of 22140 that divides 22131 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 41, 45, 54, 60, 82, 90, 108, 123, 135, 164, 180, 205, 246, 270, 369, 410, 492, 540, 615, 738, 820, 1107, 1230, 1476, 1845, 2214, 2460, 3690, 4428, 5535, 7380, 11070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22131 and 22140. The biggest common factor number is the GCF number.
So the greatest common factor 22131 and 22140 is 9.

Also check out the Least Common Multiple of 22131 and 22140