What is the Greatest Common Factor of 22969 and 22974?

Greatest common factor (GCF) of 22969 and 22974 is 1.

GCF(22969,22974) = 1

We will now calculate the prime factors of 22969 and 22974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22969 and 22974.

How to find the GCF of 22969 and 22974?

We will first find the prime factorization of 22969 and 22974. After we will calculate the factors of 22969 and 22974 and find the biggest common factor number .

Step-1: Prime Factorization of 22969

Prime factors of 22969 are 103, 223. Prime factorization of 22969 in exponential form is:

22969 = 103¹ × 223¹

Step-2: Prime Factorization of 22974

Prime factors of 22974 are 2, 3, 7, 547. Prime factorization of 22974 in exponential form is:

22974 = 2¹ × 3¹ × 7¹ × 547¹

Step-3: Factors of 22969

List of positive integer factors of 22969 that divides 22969 without a remainder.

1, 103, 223

Step-4: Factors of 22974

List of positive integer factors of 22974 that divides 22969 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 547, 1094, 1641, 3282, 3829, 7658, 11487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22969 and 22974. The biggest common factor number is the GCF number.
So the greatest common factor 22969 and 22974 is 1.

Also check out the Least Common Multiple of 22969 and 22974