What is the Greatest Common Factor of 8184 and 8195?

Greatest common factor (GCF) of 8184 and 8195 is 11.

GCF(8184,8195) = 11

We will now calculate the prime factors of 8184 and 8195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8184 and 8195.

How to find the GCF of 8184 and 8195?

We will first find the prime factorization of 8184 and 8195. After we will calculate the factors of 8184 and 8195 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8195

Prime factors of 8195 are 5, 11, 149. Prime factorization of 8195 in exponential form is:

8195 = 5¹ × 11¹ × 149¹

Step-3: Factors of 8184

List of positive integer factors of 8184 that divides 8184 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

Step-4: Factors of 8195

List of positive integer factors of 8195 that divides 8184 without a remainder.

1, 5, 11, 55, 149, 745, 1639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8184 and 8195. The biggest common factor number is the GCF number.
So the greatest common factor 8184 and 8195 is 11.

Also check out the Least Common Multiple of 8184 and 8195