What is the Greatest Common Factor of 838 and 853?

Greatest common factor (GCF) of 838 and 853 is 1.

GCF(838,853) = 1

We will now calculate the prime factors of 838 and 853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 838 and 853.

How to find the GCF of 838 and 853?

We will first find the prime factorization of 838 and 853. After we will calculate the factors of 838 and 853 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 853

Prime factors of 853 are 853. Prime factorization of 853 in exponential form is:

853 = 853¹

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 853

List of positive integer factors of 853 that divides 838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 838 and 853. The biggest common factor number is the GCF number.
So the greatest common factor 838 and 853 is 1.

Also check out the Least Common Multiple of 838 and 853