What is the Greatest Common Factor of 86184 and 86193?

Greatest common factor (GCF) of 86184 and 86193 is 9.

GCF(86184,86193) = 9

We will now calculate the prime factors of 86184 and 86193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86184 and 86193.

How to find the GCF of 86184 and 86193?

We will first find the prime factorization of 86184 and 86193. After we will calculate the factors of 86184 and 86193 and find the biggest common factor number .

Step-1: Prime Factorization of 86184

Prime factors of 86184 are 2, 3, 7, 19. Prime factorization of 86184 in exponential form is:

86184 = 2³ × 3⁴ × 7¹ × 19¹

Step-2: Prime Factorization of 86193

Prime factors of 86193 are 3, 61, 157. Prime factorization of 86193 in exponential form is:

86193 = 3² × 61¹ × 157¹

Step-3: Factors of 86184

List of positive integer factors of 86184 that divides 86184 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 27, 28, 36, 38, 42, 54, 56, 57, 63, 72, 76, 81, 84, 108, 114, 126, 133, 152, 162, 168, 171, 189, 216, 228, 252, 266, 324, 342, 378, 399, 456, 504, 513, 532, 567, 648, 684, 756, 798, 1026, 1064, 1134, 1197, 1368, 1512, 1539, 1596, 2052, 2268, 2394, 3078, 3192, 3591, 4104, 4536, 4788, 6156, 7182, 9576, 10773, 12312, 14364, 21546, 28728, 43092

Step-4: Factors of 86193

List of positive integer factors of 86193 that divides 86184 without a remainder.

1, 3, 9, 61, 157, 183, 471, 549, 1413, 9577, 28731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86184 and 86193. The biggest common factor number is the GCF number.
So the greatest common factor 86184 and 86193 is 9.

Also check out the Least Common Multiple of 86184 and 86193