What is the Greatest Common Factor of 34484 and 34498?

Greatest common factor (GCF) of 34484 and 34498 is 2.

GCF(34484,34498) = 2

We will now calculate the prime factors of 34484 and 34498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34484 and 34498.

How to find the GCF of 34484 and 34498?

We will first find the prime factorization of 34484 and 34498. After we will calculate the factors of 34484 and 34498 and find the biggest common factor number .

Step-1: Prime Factorization of 34484

Prime factors of 34484 are 2, 37, 233. Prime factorization of 34484 in exponential form is:

34484 = 2² × 37¹ × 233¹

Step-2: Prime Factorization of 34498

Prime factors of 34498 are 2, 47, 367. Prime factorization of 34498 in exponential form is:

34498 = 2¹ × 47¹ × 367¹

Step-3: Factors of 34484

List of positive integer factors of 34484 that divides 34484 without a remainder.

1, 2, 4, 37, 74, 148, 233, 466, 932, 8621, 17242

Step-4: Factors of 34498

List of positive integer factors of 34498 that divides 34484 without a remainder.

1, 2, 47, 94, 367, 734, 17249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34484 and 34498. The biggest common factor number is the GCF number.
So the greatest common factor 34484 and 34498 is 2.

Also check out the Least Common Multiple of 34484 and 34498