What is the Greatest Common Factor of 23958 and 23967?

Greatest common factor (GCF) of 23958 and 23967 is 9.

GCF(23958,23967) = 9

We will now calculate the prime factors of 23958 and 23967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23958 and 23967.

How to find the GCF of 23958 and 23967?

We will first find the prime factorization of 23958 and 23967. After we will calculate the factors of 23958 and 23967 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 23967

Prime factors of 23967 are 3, 2663. Prime factorization of 23967 in exponential form is:

23967 = 3² × 2663¹

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 23967

List of positive integer factors of 23967 that divides 23958 without a remainder.

1, 3, 9, 2663, 7989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23958 and 23967. The biggest common factor number is the GCF number.
So the greatest common factor 23958 and 23967 is 9.

Also check out the Least Common Multiple of 23958 and 23967