What is the Greatest Common Factor of 34538 and 34555?

Greatest common factor (GCF) of 34538 and 34555 is 1.

GCF(34538,34555) = 1

We will now calculate the prime factors of 34538 and 34555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34538 and 34555.

How to find the GCF of 34538 and 34555?

We will first find the prime factorization of 34538 and 34555. After we will calculate the factors of 34538 and 34555 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 34555

Prime factors of 34555 are 5, 6911. Prime factorization of 34555 in exponential form is:

34555 = 5¹ × 6911¹

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 34555

List of positive integer factors of 34555 that divides 34538 without a remainder.

1, 5, 6911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34538 and 34555. The biggest common factor number is the GCF number.
So the greatest common factor 34538 and 34555 is 1.

Also check out the Least Common Multiple of 34538 and 34555