What is the Greatest Common Factor of 23980 and 23984?

Greatest common factor (GCF) of 23980 and 23984 is 4.

GCF(23980,23984) = 4

We will now calculate the prime factors of 23980 and 23984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23980 and 23984.

How to find the GCF of 23980 and 23984?

We will first find the prime factorization of 23980 and 23984. After we will calculate the factors of 23980 and 23984 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23984

Prime factors of 23984 are 2, 1499. Prime factorization of 23984 in exponential form is:

23984 = 2⁴ × 1499¹

Step-3: Factors of 23980

List of positive integer factors of 23980 that divides 23980 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

Step-4: Factors of 23984

List of positive integer factors of 23984 that divides 23980 without a remainder.

1, 2, 4, 8, 16, 1499, 2998, 5996, 11992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23980 and 23984. The biggest common factor number is the GCF number.
So the greatest common factor 23980 and 23984 is 4.

Also check out the Least Common Multiple of 23980 and 23984