What is the Greatest Common Factor of 34113 and 34131?

Greatest common factor (GCF) of 34113 and 34131 is 3.

GCF(34113,34131) = 3

We will now calculate the prime factors of 34113 and 34131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34113 and 34131.

How to find the GCF of 34113 and 34131?

We will first find the prime factorization of 34113 and 34131. After we will calculate the factors of 34113 and 34131 and find the biggest common factor number .

Step-1: Prime Factorization of 34113

Prime factors of 34113 are 3, 83, 137. Prime factorization of 34113 in exponential form is:

34113 = 3¹ × 83¹ × 137¹

Step-2: Prime Factorization of 34131

Prime factors of 34131 are 3, 31, 367. Prime factorization of 34131 in exponential form is:

34131 = 3¹ × 31¹ × 367¹

Step-3: Factors of 34113

List of positive integer factors of 34113 that divides 34113 without a remainder.

1, 3, 83, 137, 249, 411, 11371

Step-4: Factors of 34131

List of positive integer factors of 34131 that divides 34113 without a remainder.

1, 3, 31, 93, 367, 1101, 11377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34113 and 34131. The biggest common factor number is the GCF number.
So the greatest common factor 34113 and 34131 is 3.

Also check out the Least Common Multiple of 34113 and 34131