What is the Greatest Common Factor of 23974 and 23991?

Greatest common factor (GCF) of 23974 and 23991 is 1.

GCF(23974,23991) = 1

We will now calculate the prime factors of 23974 and 23991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23974 and 23991.

How to find the GCF of 23974 and 23991?

We will first find the prime factorization of 23974 and 23991. After we will calculate the factors of 23974 and 23991 and find the biggest common factor number .

Step-1: Prime Factorization of 23974

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

23974 = 2¹ × 11987¹

Step-2: Prime Factorization of 23991

Prime factors of 23991 are 3, 11, 727. Prime factorization of 23991 in exponential form is:

23991 = 3¹ × 11¹ × 727¹

Step-3: Factors of 23974

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

1, 2, 11987

Step-4: Factors of 23991

List of positive integer factors of 23991 that divides 23974 without a remainder.

1, 3, 11, 33, 727, 2181, 7997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23974 and 23991. The biggest common factor number is the GCF number.
So the greatest common factor 23974 and 23991 is 1.

Also check out the Least Common Multiple of 23974 and 23991