What is the Greatest Common Factor of 34531 and 34538?

Greatest common factor (GCF) of 34531 and 34538 is 7.

GCF(34531,34538) = 7

We will now calculate the prime factors of 34531 and 34538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34531 and 34538.

How to find the GCF of 34531 and 34538?

We will first find the prime factorization of 34531 and 34538. After we will calculate the factors of 34531 and 34538 and find the biggest common factor number .

Step-1: Prime Factorization of 34531

Prime factors of 34531 are 7, 4933. Prime factorization of 34531 in exponential form is:

34531 = 7¹ × 4933¹

Step-2: Prime Factorization of 34538

Prime factors of 34538 are 2, 7, 2467. Prime factorization of 34538 in exponential form is:

34538 = 2¹ × 7¹ × 2467¹

Step-3: Factors of 34531

List of positive integer factors of 34531 that divides 34531 without a remainder.

1, 7, 4933

Step-4: Factors of 34538

List of positive integer factors of 34538 that divides 34531 without a remainder.

1, 2, 7, 14, 2467, 4934, 17269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34531 and 34538. The biggest common factor number is the GCF number.
So the greatest common factor 34531 and 34538 is 7.

Also check out the Least Common Multiple of 34531 and 34538