What is the Greatest Common Factor of 23980 and 23991?

Greatest common factor (GCF) of 23980 and 23991 is 11.

GCF(23980,23991) = 11

We will now calculate the prime factors of 23980 and 23991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23980 and 23991.

How to find the GCF of 23980 and 23991?

We will first find the prime factorization of 23980 and 23991. After we will calculate the factors of 23980 and 23991 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 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 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 23991

List of positive integer factors of 23991 that divides 23980 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23980 and 23991. The biggest common factor number is the GCF number.
So the greatest common factor 23980 and 23991 is 11.

Also check out the Least Common Multiple of 23980 and 23991