What is the Greatest Common Factor of 85170 and 85184?

Greatest common factor (GCF) of 85170 and 85184 is 2.

GCF(85170,85184) = 2

We will now calculate the prime factors of 85170 and 85184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85170 and 85184.

How to find the GCF of 85170 and 85184?

We will first find the prime factorization of 85170 and 85184. After we will calculate the factors of 85170 and 85184 and find the biggest common factor number .

Step-1: Prime Factorization of 85170

Prime factors of 85170 are 2, 3, 5, 17, 167. Prime factorization of 85170 in exponential form is:

85170 = 2¹ × 3¹ × 5¹ × 17¹ × 167¹

Step-2: Prime Factorization of 85184

Prime factors of 85184 are 2, 11. Prime factorization of 85184 in exponential form is:

85184 = 2⁶ × 11³

Step-3: Factors of 85170

List of positive integer factors of 85170 that divides 85170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 167, 170, 255, 334, 501, 510, 835, 1002, 1670, 2505, 2839, 5010, 5678, 8517, 14195, 17034, 28390, 42585

Step-4: Factors of 85184

List of positive integer factors of 85184 that divides 85170 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1331, 1936, 2662, 3872, 5324, 7744, 10648, 21296, 42592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85170 and 85184. The biggest common factor number is the GCF number.
So the greatest common factor 85170 and 85184 is 2.

Also check out the Least Common Multiple of 85170 and 85184