What is the Greatest Common Factor of 23982 and 23996?

Greatest common factor (GCF) of 23982 and 23996 is 14.

GCF(23982,23996) = 14

We will now calculate the prime factors of 23982 and 23996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23982 and 23996.

How to find the GCF of 23982 and 23996?

We will first find the prime factorization of 23982 and 23996. After we will calculate the factors of 23982 and 23996 and find the biggest common factor number .

Step-1: 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-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 23982

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

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

Step-4: Factors of 23996

List of positive integer factors of 23996 that divides 23982 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 23982 and 23996. The biggest common factor number is the GCF number.
So the greatest common factor 23982 and 23996 is 14.

Also check out the Least Common Multiple of 23982 and 23996