What is the Greatest Common Factor of 86172 and 86184?

Greatest common factor (GCF) of 86172 and 86184 is 12.

GCF(86172,86184) = 12

We will now calculate the prime factors of 86172 and 86184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86172 and 86184.

How to find the GCF of 86172 and 86184?

We will first find the prime factorization of 86172 and 86184. After we will calculate the factors of 86172 and 86184 and find the biggest common factor number .

Step-1: Prime Factorization of 86172

Prime factors of 86172 are 2, 3, 43, 167. Prime factorization of 86172 in exponential form is:

86172 = 2² × 3¹ × 43¹ × 167¹

Step-2: 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-3: Factors of 86172

List of positive integer factors of 86172 that divides 86172 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 167, 172, 258, 334, 501, 516, 668, 1002, 2004, 7181, 14362, 21543, 28724, 43086

Step-4: Factors of 86184

List of positive integer factors of 86184 that divides 86172 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86172 and 86184. The biggest common factor number is the GCF number.
So the greatest common factor 86172 and 86184 is 12.

Also check out the Least Common Multiple of 86172 and 86184