What is the Greatest Common Factor of 23974 and 23980?

Greatest common factor (GCF) of 23974 and 23980 is 2.

GCF(23974,23980) = 2

We will now calculate the prime factors of 23974 and 23980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23974 and 23980.

How to find the GCF of 23974 and 23980?

We will first find the prime factorization of 23974 and 23980. After we will calculate the factors of 23974 and 23980 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 23980

Prime factors of 23980 are 2, 5, 11, 109. Prime factorization of 23980 in exponential form is:

23980 = 2² × 5¹ × 11¹ × 109¹

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 23980

List of positive integer factors of 23980 that divides 23974 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 109, 110, 218, 220, 436, 545, 1090, 1199, 2180, 2398, 4796, 5995, 11990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23974 and 23980. The biggest common factor number is the GCF number.
So the greatest common factor 23974 and 23980 is 2.

Also check out the Least Common Multiple of 23974 and 23980