What is the Greatest Common Factor of 22650 and 22670?

Greatest common factor (GCF) of 22650 and 22670 is 10.

GCF(22650,22670) = 10

We will now calculate the prime factors of 22650 and 22670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22650 and 22670.

How to find the GCF of 22650 and 22670?

We will first find the prime factorization of 22650 and 22670. After we will calculate the factors of 22650 and 22670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22670

Prime factors of 22670 are 2, 5, 2267. Prime factorization of 22670 in exponential form is:

22670 = 2¹ × 5¹ × 2267¹

Step-3: Factors of 22650

List of positive integer factors of 22650 that divides 22650 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

Step-4: Factors of 22670

List of positive integer factors of 22670 that divides 22650 without a remainder.

1, 2, 5, 10, 2267, 4534, 11335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22650 and 22670. The biggest common factor number is the GCF number.
So the greatest common factor 22650 and 22670 is 10.

Also check out the Least Common Multiple of 22650 and 22670