What is the Greatest Common Factor of 23858 and 23862?

Greatest common factor (GCF) of 23858 and 23862 is 2.

GCF(23858,23862) = 2

We will now calculate the prime factors of 23858 and 23862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23858 and 23862.

How to find the GCF of 23858 and 23862?

We will first find the prime factorization of 23858 and 23862. After we will calculate the factors of 23858 and 23862 and find the biggest common factor number .

Step-1: Prime Factorization of 23858

Prime factors of 23858 are 2, 79, 151. Prime factorization of 23858 in exponential form is:

23858 = 2¹ × 79¹ × 151¹

Step-2: Prime Factorization of 23862

Prime factors of 23862 are 2, 3, 41, 97. Prime factorization of 23862 in exponential form is:

23862 = 2¹ × 3¹ × 41¹ × 97¹

Step-3: Factors of 23858

List of positive integer factors of 23858 that divides 23858 without a remainder.

1, 2, 79, 151, 158, 302, 11929

Step-4: Factors of 23862

List of positive integer factors of 23862 that divides 23858 without a remainder.

1, 2, 3, 6, 41, 82, 97, 123, 194, 246, 291, 582, 3977, 7954, 11931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23858 and 23862. The biggest common factor number is the GCF number.
So the greatest common factor 23858 and 23862 is 2.

Also check out the Least Common Multiple of 23858 and 23862