What is the Greatest Common Factor of 22135 and 22140?

Greatest common factor (GCF) of 22135 and 22140 is 5.

GCF(22135,22140) = 5

We will now calculate the prime factors of 22135 and 22140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22135 and 22140.

How to find the GCF of 22135 and 22140?

We will first find the prime factorization of 22135 and 22140. After we will calculate the factors of 22135 and 22140 and find the biggest common factor number .

Step-1: Prime Factorization of 22135

Prime factors of 22135 are 5, 19, 233. Prime factorization of 22135 in exponential form is:

22135 = 5¹ × 19¹ × 233¹

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 22135

List of positive integer factors of 22135 that divides 22135 without a remainder.

1, 5, 19, 95, 233, 1165, 4427

Step-4: Factors of 22140

List of positive integer factors of 22140 that divides 22135 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 22135 and 22140. The biggest common factor number is the GCF number.
So the greatest common factor 22135 and 22140 is 5.

Also check out the Least Common Multiple of 22135 and 22140