What is the Greatest Common Factor of 34538 and 34554?

Greatest common factor (GCF) of 34538 and 34554 is 2.

GCF(34538,34554) = 2

We will now calculate the prime factors of 34538 and 34554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34538 and 34554.

How to find the GCF of 34538 and 34554?

We will first find the prime factorization of 34538 and 34554. After we will calculate the factors of 34538 and 34554 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 34554

Prime factors of 34554 are 2, 3, 13, 443. Prime factorization of 34554 in exponential form is:

34554 = 2¹ × 3¹ × 13¹ × 443¹

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 34554

List of positive integer factors of 34554 that divides 34538 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 443, 886, 1329, 2658, 5759, 11518, 17277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34538 and 34554. The biggest common factor number is the GCF number.
So the greatest common factor 34538 and 34554 is 2.

Also check out the Least Common Multiple of 34538 and 34554