What is the Greatest Common Factor of 22949 and 22968?

Greatest common factor (GCF) of 22949 and 22968 is 1.

GCF(22949,22968) = 1

We will now calculate the prime factors of 22949 and 22968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22949 and 22968.

How to find the GCF of 22949 and 22968?

We will first find the prime factorization of 22949 and 22968. After we will calculate the factors of 22949 and 22968 and find the biggest common factor number .

Step-1: Prime Factorization of 22949

Prime factors of 22949 are 53, 433. Prime factorization of 22949 in exponential form is:

22949 = 53¹ × 433¹

Step-2: Prime Factorization of 22968

Prime factors of 22968 are 2, 3, 11, 29. Prime factorization of 22968 in exponential form is:

22968 = 2³ × 3² × 11¹ × 29¹

Step-3: Factors of 22949

List of positive integer factors of 22949 that divides 22949 without a remainder.

1, 53, 433

Step-4: Factors of 22968

List of positive integer factors of 22968 that divides 22949 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 29, 33, 36, 44, 58, 66, 72, 87, 88, 99, 116, 132, 174, 198, 232, 261, 264, 319, 348, 396, 522, 638, 696, 792, 957, 1044, 1276, 1914, 2088, 2552, 2871, 3828, 5742, 7656, 11484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22949 and 22968. The biggest common factor number is the GCF number.
So the greatest common factor 22949 and 22968 is 1.

Also check out the Least Common Multiple of 22949 and 22968