What is the Greatest Common Factor of 23975 and 23982?

Greatest common factor (GCF) of 23975 and 23982 is 7.

GCF(23975,23982) = 7

We will now calculate the prime factors of 23975 and 23982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23975 and 23982.

How to find the GCF of 23975 and 23982?

We will first find the prime factorization of 23975 and 23982. After we will calculate the factors of 23975 and 23982 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 23982

Prime factors of 23982 are 2, 3, 7, 571. Prime factorization of 23982 in exponential form is:

23982 = 2¹ × 3¹ × 7¹ × 571¹

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 23982

List of positive integer factors of 23982 that divides 23975 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 571, 1142, 1713, 3426, 3997, 7994, 11991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23975 and 23982. The biggest common factor number is the GCF number.
So the greatest common factor 23975 and 23982 is 7.

Also check out the Least Common Multiple of 23975 and 23982