What is the Greatest Common Factor of 23974 and 23990?

Greatest common factor (GCF) of 23974 and 23990 is 2.

GCF(23974,23990) = 2

We will now calculate the prime factors of 23974 and 23990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23974 and 23990.

How to find the GCF of 23974 and 23990?

We will first find the prime factorization of 23974 and 23990. After we will calculate the factors of 23974 and 23990 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 23990

Prime factors of 23990 are 2, 5, 2399. Prime factorization of 23990 in exponential form is:

23990 = 2¹ × 5¹ × 2399¹

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 23990

List of positive integer factors of 23990 that divides 23974 without a remainder.

1, 2, 5, 10, 2399, 4798, 11995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23974 and 23990. The biggest common factor number is the GCF number.
So the greatest common factor 23974 and 23990 is 2.

Also check out the Least Common Multiple of 23974 and 23990