What is the Greatest Common Factor of 22140 and 22157?

Greatest common factor (GCF) of 22140 and 22157 is 1.

GCF(22140,22157) = 1

We will now calculate the prime factors of 22140 and 22157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22140 and 22157.

How to find the GCF of 22140 and 22157?

We will first find the prime factorization of 22140 and 22157. After we will calculate the factors of 22140 and 22157 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22157

Prime factors of 22157 are 22157. Prime factorization of 22157 in exponential form is:

22157 = 22157¹

Step-3: Factors of 22140

List of positive integer factors of 22140 that divides 22140 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

Step-4: Factors of 22157

List of positive integer factors of 22157 that divides 22140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22140 and 22157. The biggest common factor number is the GCF number.
So the greatest common factor 22140 and 22157 is 1.

Also check out the Least Common Multiple of 22140 and 22157