What is the Greatest Common Factor of 34538 and 34550?

Greatest common factor (GCF) of 34538 and 34550 is 2.

GCF(34538,34550) = 2

We will now calculate the prime factors of 34538 and 34550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34538 and 34550.

How to find the GCF of 34538 and 34550?

We will first find the prime factorization of 34538 and 34550. After we will calculate the factors of 34538 and 34550 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 34550

Prime factors of 34550 are 2, 5, 691. Prime factorization of 34550 in exponential form is:

34550 = 2¹ × 5² × 691¹

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 34550

List of positive integer factors of 34550 that divides 34538 without a remainder.

1, 2, 5, 10, 25, 50, 691, 1382, 3455, 6910, 17275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34538 and 34550. The biggest common factor number is the GCF number.
So the greatest common factor 34538 and 34550 is 2.

Also check out the Least Common Multiple of 34538 and 34550