What is the Greatest Common Factor of 23987 and 23996?

Greatest common factor (GCF) of 23987 and 23996 is 1.

GCF(23987,23996) = 1

We will now calculate the prime factors of 23987 and 23996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23987 and 23996.

How to find the GCF of 23987 and 23996?

We will first find the prime factorization of 23987 and 23996. After we will calculate the factors of 23987 and 23996 and find the biggest common factor number .

Step-1: Prime Factorization of 23987

Prime factors of 23987 are 17, 83. Prime factorization of 23987 in exponential form is:

23987 = 17² × 83¹

Step-2: Prime Factorization of 23996

Prime factors of 23996 are 2, 7, 857. Prime factorization of 23996 in exponential form is:

23996 = 2² × 7¹ × 857¹

Step-3: Factors of 23987

List of positive integer factors of 23987 that divides 23987 without a remainder.

1, 17, 83, 289, 1411

Step-4: Factors of 23996

List of positive integer factors of 23996 that divides 23987 without a remainder.

1, 2, 4, 7, 14, 28, 857, 1714, 3428, 5999, 11998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23987 and 23996. The biggest common factor number is the GCF number.
So the greatest common factor 23987 and 23996 is 1.

Also check out the Least Common Multiple of 23987 and 23996