What is the Greatest Common Factor of 32302 and 32316?

Greatest common factor (GCF) of 32302 and 32316 is 2.

GCF(32302,32316) = 2

We will now calculate the prime factors of 32302 and 32316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32302 and 32316.

How to find the GCF of 32302 and 32316?

We will first find the prime factorization of 32302 and 32316. After we will calculate the factors of 32302 and 32316 and find the biggest common factor number .

Step-1: Prime Factorization of 32302

Prime factors of 32302 are 2, 31, 521. Prime factorization of 32302 in exponential form is:

32302 = 2¹ × 31¹ × 521¹

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 32302

List of positive integer factors of 32302 that divides 32302 without a remainder.

1, 2, 31, 62, 521, 1042, 16151

Step-4: Factors of 32316

List of positive integer factors of 32316 that divides 32302 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 32302 and 32316. The biggest common factor number is the GCF number.
So the greatest common factor 32302 and 32316 is 2.

Also check out the Least Common Multiple of 32302 and 32316