What is the Greatest Common Factor of 34498 and 34507?

Greatest common factor (GCF) of 34498 and 34507 is 1.

GCF(34498,34507) = 1

We will now calculate the prime factors of 34498 and 34507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34498 and 34507.

How to find the GCF of 34498 and 34507?

We will first find the prime factorization of 34498 and 34507. After we will calculate the factors of 34498 and 34507 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34507

Prime factors of 34507 are 11, 3137. Prime factorization of 34507 in exponential form is:

34507 = 11¹ × 3137¹

Step-3: Factors of 34498

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

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

Step-4: Factors of 34507

List of positive integer factors of 34507 that divides 34498 without a remainder.

1, 11, 3137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34498 and 34507. The biggest common factor number is the GCF number.
So the greatest common factor 34498 and 34507 is 1.

Also check out the Least Common Multiple of 34498 and 34507