What is the Greatest Common Factor of 22948 and 22967?

Greatest common factor (GCF) of 22948 and 22967 is 1.

GCF(22948,22967) = 1

We will now calculate the prime factors of 22948 and 22967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22948 and 22967.

How to find the GCF of 22948 and 22967?

We will first find the prime factorization of 22948 and 22967. After we will calculate the factors of 22948 and 22967 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 22967

Prime factors of 22967 are 7, 17, 193. Prime factorization of 22967 in exponential form is:

22967 = 7¹ × 17¹ × 193¹

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 22967

List of positive integer factors of 22967 that divides 22948 without a remainder.

1, 7, 17, 119, 193, 1351, 3281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22948 and 22967. The biggest common factor number is the GCF number.
So the greatest common factor 22948 and 22967 is 1.

Also check out the Least Common Multiple of 22948 and 22967