What is the Greatest Common Factor of 22690 and 22700?

Greatest common factor (GCF) of 22690 and 22700 is 10.

GCF(22690,22700) = 10

We will now calculate the prime factors of 22690 and 22700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22690 and 22700.

How to find the GCF of 22690 and 22700?

We will first find the prime factorization of 22690 and 22700. After we will calculate the factors of 22690 and 22700 and find the biggest common factor number .

Step-1: Prime Factorization of 22690

Prime factors of 22690 are 2, 5, 2269. Prime factorization of 22690 in exponential form is:

22690 = 2¹ × 5¹ × 2269¹

Step-2: Prime Factorization of 22700

Prime factors of 22700 are 2, 5, 227. Prime factorization of 22700 in exponential form is:

22700 = 2² × 5² × 227¹

Step-3: Factors of 22690

List of positive integer factors of 22690 that divides 22690 without a remainder.

1, 2, 5, 10, 2269, 4538, 11345

Step-4: Factors of 22700

List of positive integer factors of 22700 that divides 22690 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 227, 454, 908, 1135, 2270, 4540, 5675, 11350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22690 and 22700. The biggest common factor number is the GCF number.
So the greatest common factor 22690 and 22700 is 10.

Also check out the Least Common Multiple of 22690 and 22700