What is the Greatest Common Factor of 23982 and 23998?

Greatest common factor (GCF) of 23982 and 23998 is 2.

GCF(23982,23998) = 2

We will now calculate the prime factors of 23982 and 23998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23982 and 23998.

How to find the GCF of 23982 and 23998?

We will first find the prime factorization of 23982 and 23998. After we will calculate the factors of 23982 and 23998 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 23998

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

23998 = 2¹ × 13² × 71¹

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 23998

List of positive integer factors of 23998 that divides 23982 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23982 and 23998. The biggest common factor number is the GCF number.
So the greatest common factor 23982 and 23998 is 2.

Also check out the Least Common Multiple of 23982 and 23998