What is the Greatest Common Factor of 23967 and 23977?

Greatest common factor (GCF) of 23967 and 23977 is 1.

GCF(23967,23977) = 1

We will now calculate the prime factors of 23967 and 23977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23967 and 23977.

How to find the GCF of 23967 and 23977?

We will first find the prime factorization of 23967 and 23977. After we will calculate the factors of 23967 and 23977 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 23977

Prime factors of 23977 are 23977. Prime factorization of 23977 in exponential form is:

23977 = 23977¹

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 23977

List of positive integer factors of 23977 that divides 23967 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23967 and 23977. The biggest common factor number is the GCF number.
So the greatest common factor 23967 and 23977 is 1.

Also check out the Least Common Multiple of 23967 and 23977