What is the Greatest Common Factor of 32298 and 32316?

Greatest common factor (GCF) of 32298 and 32316 is 6.

GCF(32298,32316) = 6

We will now calculate the prime factors of 32298 and 32316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32298 and 32316.

How to find the GCF of 32298 and 32316?

We will first find the prime factorization of 32298 and 32316. After we will calculate the factors of 32298 and 32316 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 32316

Prime factors of 32316 are 2, 3, 2693. Prime factorization of 32316 in exponential form is:

32316 = 2² × 3¹ × 2693¹

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 32316

List of positive integer factors of 32316 that divides 32298 without a remainder.

1, 2, 3, 4, 6, 12, 2693, 5386, 8079, 10772, 16158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32298 and 32316. The biggest common factor number is the GCF number.
So the greatest common factor 32298 and 32316 is 6.

Also check out the Least Common Multiple of 32298 and 32316