What is the Greatest Common Factor of 23882 and 23898?

Greatest common factor (GCF) of 23882 and 23898 is 2.

GCF(23882,23898) = 2

We will now calculate the prime factors of 23882 and 23898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23882 and 23898.

How to find the GCF of 23882 and 23898?

We will first find the prime factorization of 23882 and 23898. After we will calculate the factors of 23882 and 23898 and find the biggest common factor number .

Step-1: Prime Factorization of 23882

Prime factors of 23882 are 2, 11941. Prime factorization of 23882 in exponential form is:

23882 = 2¹ × 11941¹

Step-2: Prime Factorization of 23898

Prime factors of 23898 are 2, 3, 7, 569. Prime factorization of 23898 in exponential form is:

23898 = 2¹ × 3¹ × 7¹ × 569¹

Step-3: Factors of 23882

List of positive integer factors of 23882 that divides 23882 without a remainder.

1, 2, 11941

Step-4: Factors of 23898

List of positive integer factors of 23898 that divides 23882 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 569, 1138, 1707, 3414, 3983, 7966, 11949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23882 and 23898. The biggest common factor number is the GCF number.
So the greatest common factor 23882 and 23898 is 2.

Also check out the Least Common Multiple of 23882 and 23898