What is the Greatest Common Factor of 22700 and 22714?

Greatest common factor (GCF) of 22700 and 22714 is 2.

GCF(22700,22714) = 2

We will now calculate the prime factors of 22700 and 22714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22700 and 22714.

How to find the GCF of 22700 and 22714?

We will first find the prime factorization of 22700 and 22714. After we will calculate the factors of 22700 and 22714 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22714

Prime factors of 22714 are 2, 41, 277. Prime factorization of 22714 in exponential form is:

22714 = 2¹ × 41¹ × 277¹

Step-3: Factors of 22700

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

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

Step-4: Factors of 22714

List of positive integer factors of 22714 that divides 22700 without a remainder.

1, 2, 41, 82, 277, 554, 11357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22700 and 22714. The biggest common factor number is the GCF number.
So the greatest common factor 22700 and 22714 is 2.

Also check out the Least Common Multiple of 22700 and 22714