What is the Greatest Common Factor of 34728 and 34746?

Greatest common factor (GCF) of 34728 and 34746 is 6.

GCF(34728,34746) = 6

We will now calculate the prime factors of 34728 and 34746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34728 and 34746.

How to find the GCF of 34728 and 34746?

We will first find the prime factorization of 34728 and 34746. After we will calculate the factors of 34728 and 34746 and find the biggest common factor number .

Step-1: Prime Factorization of 34728

Prime factors of 34728 are 2, 3, 1447. Prime factorization of 34728 in exponential form is:

34728 = 2³ × 3¹ × 1447¹

Step-2: Prime Factorization of 34746

Prime factors of 34746 are 2, 3, 5791. Prime factorization of 34746 in exponential form is:

34746 = 2¹ × 3¹ × 5791¹

Step-3: Factors of 34728

List of positive integer factors of 34728 that divides 34728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1447, 2894, 4341, 5788, 8682, 11576, 17364

Step-4: Factors of 34746

List of positive integer factors of 34746 that divides 34728 without a remainder.

1, 2, 3, 6, 5791, 11582, 17373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34728 and 34746. The biggest common factor number is the GCF number.
So the greatest common factor 34728 and 34746 is 6.

Also check out the Least Common Multiple of 34728 and 34746