What is the Greatest Common Factor of 34669 and 34684?

Greatest common factor (GCF) of 34669 and 34684 is 1.

GCF(34669,34684) = 1

We will now calculate the prime factors of 34669 and 34684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34669 and 34684.

How to find the GCF of 34669 and 34684?

We will first find the prime factorization of 34669 and 34684. After we will calculate the factors of 34669 and 34684 and find the biggest common factor number .

Step-1: Prime Factorization of 34669

Prime factors of 34669 are 37, 937. Prime factorization of 34669 in exponential form is:

34669 = 37¹ × 937¹

Step-2: Prime Factorization of 34684

Prime factors of 34684 are 2, 13, 23, 29. Prime factorization of 34684 in exponential form is:

34684 = 2² × 13¹ × 23¹ × 29¹

Step-3: Factors of 34669

List of positive integer factors of 34669 that divides 34669 without a remainder.

1, 37, 937

Step-4: Factors of 34684

List of positive integer factors of 34684 that divides 34669 without a remainder.

1, 2, 4, 13, 23, 26, 29, 46, 52, 58, 92, 116, 299, 377, 598, 667, 754, 1196, 1334, 1508, 2668, 8671, 17342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34669 and 34684. The biggest common factor number is the GCF number.
So the greatest common factor 34669 and 34684 is 1.

Also check out the Least Common Multiple of 34669 and 34684