What is the Greatest Common Factor of 34838 and 34844?

Greatest common factor (GCF) of 34838 and 34844 is 2.

GCF(34838,34844) = 2

We will now calculate the prime factors of 34838 and 34844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34838 and 34844.

How to find the GCF of 34838 and 34844?

We will first find the prime factorization of 34838 and 34844. After we will calculate the factors of 34838 and 34844 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 34844

Prime factors of 34844 are 2, 31, 281. Prime factorization of 34844 in exponential form is:

34844 = 2² × 31¹ × 281¹

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 34844

List of positive integer factors of 34844 that divides 34838 without a remainder.

1, 2, 4, 31, 62, 124, 281, 562, 1124, 8711, 17422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34838 and 34844. The biggest common factor number is the GCF number.
So the greatest common factor 34838 and 34844 is 2.

Also check out the Least Common Multiple of 34838 and 34844