What is the Greatest Common Factor of 23975 and 23987?

Greatest common factor (GCF) of 23975 and 23987 is 1.

GCF(23975,23987) = 1

We will now calculate the prime factors of 23975 and 23987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23975 and 23987.

How to find the GCF of 23975 and 23987?

We will first find the prime factorization of 23975 and 23987. After we will calculate the factors of 23975 and 23987 and find the biggest common factor number .

Step-1: Prime Factorization of 23975

Prime factors of 23975 are 5, 7, 137. Prime factorization of 23975 in exponential form is:

23975 = 5² × 7¹ × 137¹

Step-2: Prime Factorization of 23987

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

23987 = 17² × 83¹

Step-3: Factors of 23975

List of positive integer factors of 23975 that divides 23975 without a remainder.

1, 5, 7, 25, 35, 137, 175, 685, 959, 3425, 4795

Step-4: Factors of 23987

List of positive integer factors of 23987 that divides 23975 without a remainder.

1, 17, 83, 289, 1411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23975 and 23987. The biggest common factor number is the GCF number.
So the greatest common factor 23975 and 23987 is 1.

Also check out the Least Common Multiple of 23975 and 23987