What is the Greatest Common Factor of 32346 and 32350?

Greatest common factor (GCF) of 32346 and 32350 is 2.

GCF(32346,32350) = 2

We will now calculate the prime factors of 32346 and 32350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32346 and 32350.

How to find the GCF of 32346 and 32350?

We will first find the prime factorization of 32346 and 32350. After we will calculate the factors of 32346 and 32350 and find the biggest common factor number .

Step-1: Prime Factorization of 32346

Prime factors of 32346 are 2, 3, 599. Prime factorization of 32346 in exponential form is:

32346 = 2¹ × 3³ × 599¹

Step-2: Prime Factorization of 32350

Prime factors of 32350 are 2, 5, 647. Prime factorization of 32350 in exponential form is:

32350 = 2¹ × 5² × 647¹

Step-3: Factors of 32346

List of positive integer factors of 32346 that divides 32346 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 599, 1198, 1797, 3594, 5391, 10782, 16173

Step-4: Factors of 32350

List of positive integer factors of 32350 that divides 32346 without a remainder.

1, 2, 5, 10, 25, 50, 647, 1294, 3235, 6470, 16175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32346 and 32350. The biggest common factor number is the GCF number.
So the greatest common factor 32346 and 32350 is 2.

Also check out the Least Common Multiple of 32346 and 32350