What is the Greatest Common Factor of 32346 and 32354?

Greatest common factor (GCF) of 32346 and 32354 is 2.

GCF(32346,32354) = 2

We will now calculate the prime factors of 32346 and 32354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32346 and 32354.

How to find the GCF of 32346 and 32354?

We will first find the prime factorization of 32346 and 32354. After we will calculate the factors of 32346 and 32354 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 32354

Prime factors of 32354 are 2, 7, 2311. Prime factorization of 32354 in exponential form is:

32354 = 2¹ × 7¹ × 2311¹

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 32354

List of positive integer factors of 32354 that divides 32346 without a remainder.

1, 2, 7, 14, 2311, 4622, 16177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32346 and 32354. The biggest common factor number is the GCF number.
So the greatest common factor 32346 and 32354 is 2.

Also check out the Least Common Multiple of 32346 and 32354