What is the Greatest Common Factor of 8165 and 8184?

Greatest common factor (GCF) of 8165 and 8184 is 1.

GCF(8165,8184) = 1

We will now calculate the prime factors of 8165 and 8184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8165 and 8184.

How to find the GCF of 8165 and 8184?

We will first find the prime factorization of 8165 and 8184. After we will calculate the factors of 8165 and 8184 and find the biggest common factor number .

Step-1: Prime Factorization of 8165

Prime factors of 8165 are 5, 23, 71. Prime factorization of 8165 in exponential form is:

8165 = 5¹ × 23¹ × 71¹

Step-2: Prime Factorization of 8184

Prime factors of 8184 are 2, 3, 11, 31. Prime factorization of 8184 in exponential form is:

8184 = 2³ × 3¹ × 11¹ × 31¹

Step-3: Factors of 8165

List of positive integer factors of 8165 that divides 8165 without a remainder.

1, 5, 23, 71, 115, 355, 1633

Step-4: Factors of 8184

List of positive integer factors of 8184 that divides 8165 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8165 and 8184. The biggest common factor number is the GCF number.
So the greatest common factor 8165 and 8184 is 1.

Also check out the Least Common Multiple of 8165 and 8184