What is the Greatest Common Factor of 32194 and 32202?

Greatest common factor (GCF) of 32194 and 32202 is 2.

GCF(32194,32202) = 2

We will now calculate the prime factors of 32194 and 32202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32194 and 32202.

How to find the GCF of 32194 and 32202?

We will first find the prime factorization of 32194 and 32202. After we will calculate the factors of 32194 and 32202 and find the biggest common factor number .

Step-1: Prime Factorization of 32194

Prime factors of 32194 are 2, 16097. Prime factorization of 32194 in exponential form is:

32194 = 2¹ × 16097¹

Step-2: Prime Factorization of 32202

Prime factors of 32202 are 2, 3, 1789. Prime factorization of 32202 in exponential form is:

32202 = 2¹ × 3² × 1789¹

Step-3: Factors of 32194

List of positive integer factors of 32194 that divides 32194 without a remainder.

1, 2, 16097

Step-4: Factors of 32202

List of positive integer factors of 32202 that divides 32194 without a remainder.

1, 2, 3, 6, 9, 18, 1789, 3578, 5367, 10734, 16101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32194 and 32202. The biggest common factor number is the GCF number.
So the greatest common factor 32194 and 32202 is 2.

Also check out the Least Common Multiple of 32194 and 32202