What is the Greatest Common Factor of 22530 and 22540?

Greatest common factor (GCF) of 22530 and 22540 is 10.

GCF(22530,22540) = 10

We will now calculate the prime factors of 22530 and 22540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22530 and 22540.

How to find the GCF of 22530 and 22540?

We will first find the prime factorization of 22530 and 22540. After we will calculate the factors of 22530 and 22540 and find the biggest common factor number .

Step-1: Prime Factorization of 22530

Prime factors of 22530 are 2, 3, 5, 751. Prime factorization of 22530 in exponential form is:

22530 = 2¹ × 3¹ × 5¹ × 751¹

Step-2: 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-3: Factors of 22530

List of positive integer factors of 22530 that divides 22530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 751, 1502, 2253, 3755, 4506, 7510, 11265

Step-4: Factors of 22540

List of positive integer factors of 22540 that divides 22530 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22530 and 22540. The biggest common factor number is the GCF number.
So the greatest common factor 22530 and 22540 is 10.

Also check out the Least Common Multiple of 22530 and 22540