What is the Greatest Common Factor of 34734 and 34746?

Greatest common factor (GCF) of 34734 and 34746 is 6.

GCF(34734,34746) = 6

We will now calculate the prime factors of 34734 and 34746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34734 and 34746.

How to find the GCF of 34734 and 34746?

We will first find the prime factorization of 34734 and 34746. After we will calculate the factors of 34734 and 34746 and find the biggest common factor number .

Step-1: Prime Factorization of 34734

Prime factors of 34734 are 2, 3, 7, 827. Prime factorization of 34734 in exponential form is:

34734 = 2¹ × 3¹ × 7¹ × 827¹

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 34734

List of positive integer factors of 34734 that divides 34734 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 827, 1654, 2481, 4962, 5789, 11578, 17367

Step-4: Factors of 34746

List of positive integer factors of 34746 that divides 34734 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34734 and 34746. The biggest common factor number is the GCF number.
So the greatest common factor 34734 and 34746 is 6.

Also check out the Least Common Multiple of 34734 and 34746