What is the Greatest Common Factor of 20842 and 20857?

Greatest common factor (GCF) of 20842 and 20857 is 1.

GCF(20842,20857) = 1

We will now calculate the prime factors of 20842 and 20857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20842 and 20857.

How to find the GCF of 20842 and 20857?

We will first find the prime factorization of 20842 and 20857. After we will calculate the factors of 20842 and 20857 and find the biggest common factor number .

Step-1: Prime Factorization of 20842

Prime factors of 20842 are 2, 17, 613. Prime factorization of 20842 in exponential form is:

20842 = 2¹ × 17¹ × 613¹

Step-2: Prime Factorization of 20857

Prime factors of 20857 are 20857. Prime factorization of 20857 in exponential form is:

20857 = 20857¹

Step-3: Factors of 20842

List of positive integer factors of 20842 that divides 20842 without a remainder.

1, 2, 17, 34, 613, 1226, 10421

Step-4: Factors of 20857

List of positive integer factors of 20857 that divides 20842 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20842 and 20857. The biggest common factor number is the GCF number.
So the greatest common factor 20842 and 20857 is 1.

Also check out the Least Common Multiple of 20842 and 20857