What is the Greatest Common Factor of 34838 and 34857?

Greatest common factor (GCF) of 34838 and 34857 is 1.

GCF(34838,34857) = 1

We will now calculate the prime factors of 34838 and 34857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34838 and 34857.

How to find the GCF of 34838 and 34857?

We will first find the prime factorization of 34838 and 34857. After we will calculate the factors of 34838 and 34857 and find the biggest common factor number .

Step-1: Prime Factorization of 34838

Prime factors of 34838 are 2, 17419. Prime factorization of 34838 in exponential form is:

34838 = 2¹ × 17419¹

Step-2: Prime Factorization of 34857

Prime factors of 34857 are 3, 1291. Prime factorization of 34857 in exponential form is:

34857 = 3³ × 1291¹

Step-3: Factors of 34838

List of positive integer factors of 34838 that divides 34838 without a remainder.

1, 2, 17419

Step-4: Factors of 34857

List of positive integer factors of 34857 that divides 34838 without a remainder.

1, 3, 9, 27, 1291, 3873, 11619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34838 and 34857. The biggest common factor number is the GCF number.
So the greatest common factor 34838 and 34857 is 1.

Also check out the Least Common Multiple of 34838 and 34857