What is the Greatest Common Factor of 23958 and 23974?

Greatest common factor (GCF) of 23958 and 23974 is 2.

GCF(23958,23974) = 2

We will now calculate the prime factors of 23958 and 23974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23958 and 23974.

How to find the GCF of 23958 and 23974?

We will first find the prime factorization of 23958 and 23974. After we will calculate the factors of 23958 and 23974 and find the biggest common factor number .

Step-1: Prime Factorization of 23958

Prime factors of 23958 are 2, 3, 11. Prime factorization of 23958 in exponential form is:

23958 = 2¹ × 3² × 11³

Step-2: Prime Factorization of 23974

Prime factors of 23974 are 2, 11987. Prime factorization of 23974 in exponential form is:

23974 = 2¹ × 11987¹

Step-3: Factors of 23958

List of positive integer factors of 23958 that divides 23958 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 1331, 2178, 2662, 3993, 7986, 11979

Step-4: Factors of 23974

List of positive integer factors of 23974 that divides 23958 without a remainder.

1, 2, 11987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23958 and 23974. The biggest common factor number is the GCF number.
So the greatest common factor 23958 and 23974 is 2.

Also check out the Least Common Multiple of 23958 and 23974