What is the Greatest Common Factor of 22948 and 22954?

Greatest common factor (GCF) of 22948 and 22954 is 2.

GCF(22948,22954) = 2

We will now calculate the prime factors of 22948 and 22954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22948 and 22954.

How to find the GCF of 22948 and 22954?

We will first find the prime factorization of 22948 and 22954. After we will calculate the factors of 22948 and 22954 and find the biggest common factor number .

Step-1: Prime Factorization of 22948

Prime factors of 22948 are 2, 5737. Prime factorization of 22948 in exponential form is:

22948 = 2² × 5737¹

Step-2: Prime Factorization of 22954

Prime factors of 22954 are 2, 23, 499. Prime factorization of 22954 in exponential form is:

22954 = 2¹ × 23¹ × 499¹

Step-3: Factors of 22948

List of positive integer factors of 22948 that divides 22948 without a remainder.

1, 2, 4, 5737, 11474

Step-4: Factors of 22954

List of positive integer factors of 22954 that divides 22948 without a remainder.

1, 2, 23, 46, 499, 998, 11477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22948 and 22954. The biggest common factor number is the GCF number.
So the greatest common factor 22948 and 22954 is 2.

Also check out the Least Common Multiple of 22948 and 22954