What is the Greatest Common Factor of 23967 and 23976?

Greatest common factor (GCF) of 23967 and 23976 is 9.

GCF(23967,23976) = 9

We will now calculate the prime factors of 23967 and 23976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23967 and 23976.

How to find the GCF of 23967 and 23976?

We will first find the prime factorization of 23967 and 23976. After we will calculate the factors of 23967 and 23976 and find the biggest common factor number .

Step-1: Prime Factorization of 23967

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

23967 = 3² × 2663¹

Step-2: Prime Factorization of 23976

Prime factors of 23976 are 2, 3, 37. Prime factorization of 23976 in exponential form is:

23976 = 2³ × 3⁴ × 37¹

Step-3: Factors of 23967

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

1, 3, 9, 2663, 7989

Step-4: Factors of 23976

List of positive integer factors of 23976 that divides 23967 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 81, 108, 111, 148, 162, 216, 222, 296, 324, 333, 444, 648, 666, 888, 999, 1332, 1998, 2664, 2997, 3996, 5994, 7992, 11988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23967 and 23976. The biggest common factor number is the GCF number.
So the greatest common factor 23967 and 23976 is 9.

Also check out the Least Common Multiple of 23967 and 23976