What is the Greatest Common Factor of 8305 and 8316?

Greatest common factor (GCF) of 8305 and 8316 is 11.

GCF(8305,8316) = 11

We will now calculate the prime factors of 8305 and 8316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8305 and 8316.

How to find the GCF of 8305 and 8316?

We will first find the prime factorization of 8305 and 8316. After we will calculate the factors of 8305 and 8316 and find the biggest common factor number .

Step-1: Prime Factorization of 8305

Prime factors of 8305 are 5, 11, 151. Prime factorization of 8305 in exponential form is:

8305 = 5¹ × 11¹ × 151¹

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 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1, 5, 11, 55, 151, 755, 1661

Step-4: Factors of 8316

List of positive integer factors of 8316 that divides 8305 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 8305 and 8316. The biggest common factor number is the GCF number.
So the greatest common factor 8305 and 8316 is 11.

Also check out the Least Common Multiple of 8305 and 8316