What is the Greatest Common Factor of 22540 and 22554?

Greatest common factor (GCF) of 22540 and 22554 is 14.

GCF(22540,22554) = 14

We will now calculate the prime factors of 22540 and 22554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22540 and 22554.

How to find the GCF of 22540 and 22554?

We will first find the prime factorization of 22540 and 22554. After we will calculate the factors of 22540 and 22554 and find the biggest common factor number .

Step-1: Prime Factorization of 22540

Prime factors of 22540 are 2, 5, 7, 23. Prime factorization of 22540 in exponential form is:

22540 = 2² × 5¹ × 7² × 23¹

Step-2: Prime Factorization of 22554

Prime factors of 22554 are 2, 3, 7, 179. Prime factorization of 22554 in exponential form is:

22554 = 2¹ × 3² × 7¹ × 179¹

Step-3: Factors of 22540

List of positive integer factors of 22540 that divides 22540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 49, 70, 92, 98, 115, 140, 161, 196, 230, 245, 322, 460, 490, 644, 805, 980, 1127, 1610, 2254, 3220, 4508, 5635, 11270

Step-4: Factors of 22554

List of positive integer factors of 22554 that divides 22540 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 179, 358, 537, 1074, 1253, 1611, 2506, 3222, 3759, 7518, 11277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22540 and 22554. The biggest common factor number is the GCF number.
So the greatest common factor 22540 and 22554 is 14.

Also check out the Least Common Multiple of 22540 and 22554