What is the Greatest Common Factor of 32298 and 32308?

Greatest common factor (GCF) of 32298 and 32308 is 2.

GCF(32298,32308) = 2

We will now calculate the prime factors of 32298 and 32308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32298 and 32308.

How to find the GCF of 32298 and 32308?

We will first find the prime factorization of 32298 and 32308. After we will calculate the factors of 32298 and 32308 and find the biggest common factor number .

Step-1: Prime Factorization of 32298

Prime factors of 32298 are 2, 3, 7, 769. Prime factorization of 32298 in exponential form is:

32298 = 2¹ × 3¹ × 7¹ × 769¹

Step-2: Prime Factorization of 32308

Prime factors of 32308 are 2, 41, 197. Prime factorization of 32308 in exponential form is:

32308 = 2² × 41¹ × 197¹

Step-3: Factors of 32298

List of positive integer factors of 32298 that divides 32298 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 769, 1538, 2307, 4614, 5383, 10766, 16149

Step-4: Factors of 32308

List of positive integer factors of 32308 that divides 32298 without a remainder.

1, 2, 4, 41, 82, 164, 197, 394, 788, 8077, 16154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32298 and 32308. The biggest common factor number is the GCF number.
So the greatest common factor 32298 and 32308 is 2.

Also check out the Least Common Multiple of 32298 and 32308