What is the Greatest Common Factor of 23998 and 24011?

Greatest common factor (GCF) of 23998 and 24011 is 13.

GCF(23998,24011) = 13

We will now calculate the prime factors of 23998 and 24011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23998 and 24011.

How to find the GCF of 23998 and 24011?

We will first find the prime factorization of 23998 and 24011. After we will calculate the factors of 23998 and 24011 and find the biggest common factor number .

Step-1: Prime Factorization of 23998

Prime factors of 23998 are 2, 13, 71. Prime factorization of 23998 in exponential form is:

23998 = 2¹ × 13² × 71¹

Step-2: Prime Factorization of 24011

Prime factors of 24011 are 13, 1847. Prime factorization of 24011 in exponential form is:

24011 = 13¹ × 1847¹

Step-3: Factors of 23998

List of positive integer factors of 23998 that divides 23998 without a remainder.

1, 2, 13, 26, 71, 142, 169, 338, 923, 1846, 11999

Step-4: Factors of 24011

List of positive integer factors of 24011 that divides 23998 without a remainder.

1, 13, 1847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23998 and 24011. The biggest common factor number is the GCF number.
So the greatest common factor 23998 and 24011 is 13.

Also check out the Least Common Multiple of 23998 and 24011