What is the Greatest Common Factor of 34728 and 34740?

Greatest common factor (GCF) of 34728 and 34740 is 12.

GCF(34728,34740) = 12

We will now calculate the prime factors of 34728 and 34740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34728 and 34740.

How to find the GCF of 34728 and 34740?

We will first find the prime factorization of 34728 and 34740. After we will calculate the factors of 34728 and 34740 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 34740

Prime factors of 34740 are 2, 3, 5, 193. Prime factorization of 34740 in exponential form is:

34740 = 2² × 3² × 5¹ × 193¹

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 34740

List of positive integer factors of 34740 that divides 34728 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 193, 386, 579, 772, 965, 1158, 1737, 1930, 2316, 2895, 3474, 3860, 5790, 6948, 8685, 11580, 17370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34728 and 34740. The biggest common factor number is the GCF number.
So the greatest common factor 34728 and 34740 is 12.

Also check out the Least Common Multiple of 34728 and 34740