What is the Greatest Common Factor of 34629 and 34646?

Greatest common factor (GCF) of 34629 and 34646 is 17.

GCF(34629,34646) = 17

We will now calculate the prime factors of 34629 and 34646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34629 and 34646.

How to find the GCF of 34629 and 34646?

We will first find the prime factorization of 34629 and 34646. After we will calculate the factors of 34629 and 34646 and find the biggest common factor number .

Step-1: Prime Factorization of 34629

Prime factors of 34629 are 3, 7, 17, 97. Prime factorization of 34629 in exponential form is:

34629 = 3¹ × 7¹ × 17¹ × 97¹

Step-2: 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-3: Factors of 34629

List of positive integer factors of 34629 that divides 34629 without a remainder.

1, 3, 7, 17, 21, 51, 97, 119, 291, 357, 679, 1649, 2037, 4947, 11543

Step-4: Factors of 34646

List of positive integer factors of 34646 that divides 34629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34629 and 34646. The biggest common factor number is the GCF number.
So the greatest common factor 34629 and 34646 is 17.

Also check out the Least Common Multiple of 34629 and 34646