What is the Greatest Common Factor of 34668 and 34684?

Greatest common factor (GCF) of 34668 and 34684 is 4.

GCF(34668,34684) = 4

We will now calculate the prime factors of 34668 and 34684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34668 and 34684.

How to find the GCF of 34668 and 34684?

We will first find the prime factorization of 34668 and 34684. After we will calculate the factors of 34668 and 34684 and find the biggest common factor number .

Step-1: Prime Factorization of 34668

Prime factors of 34668 are 2, 3, 107. Prime factorization of 34668 in exponential form is:

34668 = 2² × 3⁴ × 107¹

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 34668

List of positive integer factors of 34668 that divides 34668 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 107, 108, 162, 214, 321, 324, 428, 642, 963, 1284, 1926, 2889, 3852, 5778, 8667, 11556, 17334

Step-4: Factors of 34684

List of positive integer factors of 34684 that divides 34668 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 34668 and 34684. The biggest common factor number is the GCF number.
So the greatest common factor 34668 and 34684 is 4.

Also check out the Least Common Multiple of 34668 and 34684