What is the Greatest Common Factor of 34918 and 34931?

Greatest common factor (GCF) of 34918 and 34931 is 13.

GCF(34918,34931) = 13

We will now calculate the prime factors of 34918 and 34931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34918 and 34931.

How to find the GCF of 34918 and 34931?

We will first find the prime factorization of 34918 and 34931. After we will calculate the factors of 34918 and 34931 and find the biggest common factor number .

Step-1: Prime Factorization of 34918

Prime factors of 34918 are 2, 13, 17, 79. Prime factorization of 34918 in exponential form is:

34918 = 2¹ × 13¹ × 17¹ × 79¹

Step-2: Prime Factorization of 34931

Prime factors of 34931 are 13, 2687. Prime factorization of 34931 in exponential form is:

34931 = 13¹ × 2687¹

Step-3: Factors of 34918

List of positive integer factors of 34918 that divides 34918 without a remainder.

1, 2, 13, 17, 26, 34, 79, 158, 221, 442, 1027, 1343, 2054, 2686, 17459

Step-4: Factors of 34931

List of positive integer factors of 34931 that divides 34918 without a remainder.

1, 13, 2687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34918 and 34931. The biggest common factor number is the GCF number.
So the greatest common factor 34918 and 34931 is 13.

Also check out the Least Common Multiple of 34918 and 34931