What is the Greatest Common Factor of 86184 and 86198?

Greatest common factor (GCF) of 86184 and 86198 is 14.

GCF(86184,86198) = 14

We will now calculate the prime factors of 86184 and 86198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86184 and 86198.

How to find the GCF of 86184 and 86198?

We will first find the prime factorization of 86184 and 86198. After we will calculate the factors of 86184 and 86198 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 86198

Prime factors of 86198 are 2, 7, 47, 131. Prime factorization of 86198 in exponential form is:

86198 = 2¹ × 7¹ × 47¹ × 131¹

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 86198

List of positive integer factors of 86198 that divides 86184 without a remainder.

1, 2, 7, 14, 47, 94, 131, 262, 329, 658, 917, 1834, 6157, 12314, 43099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86184 and 86198. The biggest common factor number is the GCF number.
So the greatest common factor 86184 and 86198 is 14.

Also check out the Least Common Multiple of 86184 and 86198