What is the Greatest Common Factor of 86170 and 86184?

Greatest common factor (GCF) of 86170 and 86184 is 14.

GCF(86170,86184) = 14

We will now calculate the prime factors of 86170 and 86184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86170 and 86184.

How to find the GCF of 86170 and 86184?

We will first find the prime factorization of 86170 and 86184. After we will calculate the factors of 86170 and 86184 and find the biggest common factor number .

Step-1: Prime Factorization of 86170

Prime factors of 86170 are 2, 5, 7, 1231. Prime factorization of 86170 in exponential form is:

86170 = 2¹ × 5¹ × 7¹ × 1231¹

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 86170

List of positive integer factors of 86170 that divides 86170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1231, 2462, 6155, 8617, 12310, 17234, 43085

Step-4: Factors of 86184

List of positive integer factors of 86184 that divides 86170 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 86170 and 86184. The biggest common factor number is the GCF number.
So the greatest common factor 86170 and 86184 is 14.

Also check out the Least Common Multiple of 86170 and 86184