What is the Greatest Common Factor of 22714 and 22732?

Greatest common factor (GCF) of 22714 and 22732 is 2.

GCF(22714,22732) = 2

We will now calculate the prime factors of 22714 and 22732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22714 and 22732.

How to find the GCF of 22714 and 22732?

We will first find the prime factorization of 22714 and 22732. After we will calculate the factors of 22714 and 22732 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22732

Prime factors of 22732 are 2, 5683. Prime factorization of 22732 in exponential form is:

22732 = 2² × 5683¹

Step-3: Factors of 22714

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

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

Step-4: Factors of 22732

List of positive integer factors of 22732 that divides 22714 without a remainder.

1, 2, 4, 5683, 11366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22714 and 22732. The biggest common factor number is the GCF number.
So the greatest common factor 22714 and 22732 is 2.

Also check out the Least Common Multiple of 22714 and 22732