What is the Greatest Common Factor of 34671 and 34684?

Greatest common factor (GCF) of 34671 and 34684 is 13.

GCF(34671,34684) = 13

We will now calculate the prime factors of 34671 and 34684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34671 and 34684.

How to find the GCF of 34671 and 34684?

We will first find the prime factorization of 34671 and 34684. After we will calculate the factors of 34671 and 34684 and find the biggest common factor number .

Step-1: Prime Factorization of 34671

Prime factors of 34671 are 3, 7, 13, 127. Prime factorization of 34671 in exponential form is:

34671 = 3¹ × 7¹ × 13¹ × 127¹

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 34671

List of positive integer factors of 34671 that divides 34671 without a remainder.

1, 3, 7, 13, 21, 39, 91, 127, 273, 381, 889, 1651, 2667, 4953, 11557

Step-4: Factors of 34684

List of positive integer factors of 34684 that divides 34671 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 34671 and 34684. The biggest common factor number is the GCF number.
So the greatest common factor 34671 and 34684 is 13.

Also check out the Least Common Multiple of 34671 and 34684