What is the Greatest Common Factor of 8302 and 8316?

Greatest common factor (GCF) of 8302 and 8316 is 14.

GCF(8302,8316) = 14

We will now calculate the prime factors of 8302 and 8316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8302 and 8316.

How to find the GCF of 8302 and 8316?

We will first find the prime factorization of 8302 and 8316. After we will calculate the factors of 8302 and 8316 and find the biggest common factor number .

Step-1: Prime Factorization of 8302

Prime factors of 8302 are 2, 7, 593. Prime factorization of 8302 in exponential form is:

8302 = 2¹ × 7¹ × 593¹

Step-2: Prime Factorization of 8316

Prime factors of 8316 are 2, 3, 7, 11. Prime factorization of 8316 in exponential form is:

8316 = 2² × 3³ × 7¹ × 11¹

Step-3: Factors of 8302

List of positive integer factors of 8302 that divides 8302 without a remainder.

1, 2, 7, 14, 593, 1186, 4151

Step-4: Factors of 8316

List of positive integer factors of 8316 that divides 8302 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8302 and 8316. The biggest common factor number is the GCF number.
So the greatest common factor 8302 and 8316 is 14.

Also check out the Least Common Multiple of 8302 and 8316