What is the Greatest Common Factor of 22641 and 22650?

Greatest common factor (GCF) of 22641 and 22650 is 3.

GCF(22641,22650) = 3

We will now calculate the prime factors of 22641 and 22650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22641 and 22650.

How to find the GCF of 22641 and 22650?

We will first find the prime factorization of 22641 and 22650. After we will calculate the factors of 22641 and 22650 and find the biggest common factor number .

Step-1: Prime Factorization of 22641

Prime factors of 22641 are 3, 7547. Prime factorization of 22641 in exponential form is:

22641 = 3¹ × 7547¹

Step-2: Prime Factorization of 22650

Prime factors of 22650 are 2, 3, 5, 151. Prime factorization of 22650 in exponential form is:

22650 = 2¹ × 3¹ × 5² × 151¹

Step-3: Factors of 22641

List of positive integer factors of 22641 that divides 22641 without a remainder.

1, 3, 7547

Step-4: Factors of 22650

List of positive integer factors of 22650 that divides 22641 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 151, 302, 453, 755, 906, 1510, 2265, 3775, 4530, 7550, 11325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22641 and 22650. The biggest common factor number is the GCF number.
So the greatest common factor 22641 and 22650 is 3.

Also check out the Least Common Multiple of 22641 and 22650