What is the Greatest Common Factor of 34646 and 34663?

Greatest common factor (GCF) of 34646 and 34663 is 17.

GCF(34646,34663) = 17

We will now calculate the prime factors of 34646 and 34663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34646 and 34663.

How to find the GCF of 34646 and 34663?

We will first find the prime factorization of 34646 and 34663. After we will calculate the factors of 34646 and 34663 and find the biggest common factor number .

Step-1: Prime Factorization of 34646

Prime factors of 34646 are 2, 17, 1019. Prime factorization of 34646 in exponential form is:

34646 = 2¹ × 17¹ × 1019¹

Step-2: Prime Factorization of 34663

Prime factors of 34663 are 17, 2039. Prime factorization of 34663 in exponential form is:

34663 = 17¹ × 2039¹

Step-3: Factors of 34646

List of positive integer factors of 34646 that divides 34646 without a remainder.

1, 2, 17, 34, 1019, 2038, 17323

Step-4: Factors of 34663

List of positive integer factors of 34663 that divides 34646 without a remainder.

1, 17, 2039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34646 and 34663. The biggest common factor number is the GCF number.
So the greatest common factor 34646 and 34663 is 17.

Also check out the Least Common Multiple of 34646 and 34663