What is the Greatest Common Factor of 22530 and 22535?

Greatest common factor (GCF) of 22530 and 22535 is 5.

GCF(22530,22535) = 5

We will now calculate the prime factors of 22530 and 22535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22530 and 22535.

How to find the GCF of 22530 and 22535?

We will first find the prime factorization of 22530 and 22535. After we will calculate the factors of 22530 and 22535 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 22535

Prime factors of 22535 are 5, 4507. Prime factorization of 22535 in exponential form is:

22535 = 5¹ × 4507¹

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 22535

List of positive integer factors of 22535 that divides 22530 without a remainder.

1, 5, 4507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22530 and 22535. The biggest common factor number is the GCF number.
So the greatest common factor 22530 and 22535 is 5.

Also check out the Least Common Multiple of 22530 and 22535