What is the Greatest Common Factor of 34734 and 34748?

Greatest common factor (GCF) of 34734 and 34748 is 14.

GCF(34734,34748) = 14

We will now calculate the prime factors of 34734 and 34748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34734 and 34748.

How to find the GCF of 34734 and 34748?

We will first find the prime factorization of 34734 and 34748. After we will calculate the factors of 34734 and 34748 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 34748

Prime factors of 34748 are 2, 7, 17, 73. Prime factorization of 34748 in exponential form is:

34748 = 2² × 7¹ × 17¹ × 73¹

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 34748

List of positive integer factors of 34748 that divides 34734 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 73, 119, 146, 238, 292, 476, 511, 1022, 1241, 2044, 2482, 4964, 8687, 17374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34734 and 34748. The biggest common factor number is the GCF number.
So the greatest common factor 34734 and 34748 is 14.

Also check out the Least Common Multiple of 34734 and 34748