What is the Greatest Common Factor of 20838 and 20849?

Greatest common factor (GCF) of 20838 and 20849 is 1.

GCF(20838,20849) = 1

We will now calculate the prime factors of 20838 and 20849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20838 and 20849.

How to find the GCF of 20838 and 20849?

We will first find the prime factorization of 20838 and 20849. After we will calculate the factors of 20838 and 20849 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 20849

Prime factors of 20849 are 20849. Prime factorization of 20849 in exponential form is:

20849 = 20849¹

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 20849

List of positive integer factors of 20849 that divides 20838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20838 and 20849. The biggest common factor number is the GCF number.
So the greatest common factor 20838 and 20849 is 1.

Also check out the Least Common Multiple of 20838 and 20849