What is the Greatest Common Factor of 20838 and 20858?

Greatest common factor (GCF) of 20838 and 20858 is 2.

GCF(20838,20858) = 2

We will now calculate the prime factors of 20838 and 20858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20838 and 20858.

How to find the GCF of 20838 and 20858?

We will first find the prime factorization of 20838 and 20858. After we will calculate the factors of 20838 and 20858 and find the biggest common factor number .

Step-1: Prime Factorization of 20838

Prime factors of 20838 are 2, 3, 23, 151. Prime factorization of 20838 in exponential form is:

20838 = 2¹ × 3¹ × 23¹ × 151¹

Step-2: Prime Factorization of 20858

Prime factors of 20858 are 2, 10429. Prime factorization of 20858 in exponential form is:

20858 = 2¹ × 10429¹

Step-3: Factors of 20838

List of positive integer factors of 20838 that divides 20838 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 151, 302, 453, 906, 3473, 6946, 10419

Step-4: Factors of 20858

List of positive integer factors of 20858 that divides 20838 without a remainder.

1, 2, 10429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20838 and 20858. The biggest common factor number is the GCF number.
So the greatest common factor 20838 and 20858 is 2.

Also check out the Least Common Multiple of 20838 and 20858