What is the Greatest Common Factor of 34538 and 34558?

Greatest common factor (GCF) of 34538 and 34558 is 2.

GCF(34538,34558) = 2

We will now calculate the prime factors of 34538 and 34558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34538 and 34558.

How to find the GCF of 34538 and 34558?

We will first find the prime factorization of 34538 and 34558. After we will calculate the factors of 34538 and 34558 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34558

Prime factors of 34558 are 2, 37, 467. Prime factorization of 34558 in exponential form is:

34558 = 2¹ × 37¹ × 467¹

Step-3: Factors of 34538

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

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

Step-4: Factors of 34558

List of positive integer factors of 34558 that divides 34538 without a remainder.

1, 2, 37, 74, 467, 934, 17279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34538 and 34558. The biggest common factor number is the GCF number.
So the greatest common factor 34538 and 34558 is 2.

Also check out the Least Common Multiple of 34538 and 34558