What is the Greatest Common Factor of 838 and 857?

Greatest common factor (GCF) of 838 and 857 is 1.

GCF(838,857) = 1

We will now calculate the prime factors of 838 and 857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 838 and 857.

How to find the GCF of 838 and 857?

We will first find the prime factorization of 838 and 857. After we will calculate the factors of 838 and 857 and find the biggest common factor number .

Step-1: Prime Factorization of 838

Prime factors of 838 are 2, 419. Prime factorization of 838 in exponential form is:

838 = 2¹ × 419¹

Step-2: Prime Factorization of 857

Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:

857 = 857¹

Step-3: Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1, 2, 419

Step-4: Factors of 857

List of positive integer factors of 857 that divides 838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 838 and 857. The biggest common factor number is the GCF number.
So the greatest common factor 838 and 857 is 1.

Also check out the Least Common Multiple of 838 and 857