What is the Greatest Common Factor of 34734 and 34744?

Greatest common factor (GCF) of 34734 and 34744 is 2.

GCF(34734,34744) = 2

We will now calculate the prime factors of 34734 and 34744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34734 and 34744.

How to find the GCF of 34734 and 34744?

We will first find the prime factorization of 34734 and 34744. After we will calculate the factors of 34734 and 34744 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 34744

Prime factors of 34744 are 2, 43, 101. Prime factorization of 34744 in exponential form is:

34744 = 2³ × 43¹ × 101¹

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 34744

List of positive integer factors of 34744 that divides 34734 without a remainder.

1, 2, 4, 8, 43, 86, 101, 172, 202, 344, 404, 808, 4343, 8686, 17372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34734 and 34744. The biggest common factor number is the GCF number.
So the greatest common factor 34734 and 34744 is 2.

Also check out the Least Common Multiple of 34734 and 34744