What is the Greatest Common Factor of 20838 and 20854?

Greatest common factor (GCF) of 20838 and 20854 is 2.

GCF(20838,20854) = 2

We will now calculate the prime factors of 20838 and 20854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20838 and 20854.

How to find the GCF of 20838 and 20854?

We will first find the prime factorization of 20838 and 20854. After we will calculate the factors of 20838 and 20854 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 20854

Prime factors of 20854 are 2, 10427. Prime factorization of 20854 in exponential form is:

20854 = 2¹ × 10427¹

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 20854

List of positive integer factors of 20854 that divides 20838 without a remainder.

1, 2, 10427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20838 and 20854. The biggest common factor number is the GCF number.
So the greatest common factor 20838 and 20854 is 2.

Also check out the Least Common Multiple of 20838 and 20854