What is the Greatest Common Factor of 84150 and 84170?

Greatest common factor (GCF) of 84150 and 84170 is 10.

GCF(84150,84170) = 10

We will now calculate the prime factors of 84150 and 84170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84150 and 84170.

How to find the GCF of 84150 and 84170?

We will first find the prime factorization of 84150 and 84170. After we will calculate the factors of 84150 and 84170 and find the biggest common factor number .

Step-1: Prime Factorization of 84150

Prime factors of 84150 are 2, 3, 5, 11, 17. Prime factorization of 84150 in exponential form is:

84150 = 2¹ × 3² × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 84170

Prime factors of 84170 are 2, 5, 19, 443. Prime factorization of 84170 in exponential form is:

84170 = 2¹ × 5¹ × 19¹ × 443¹

Step-3: Factors of 84150

List of positive integer factors of 84150 that divides 84150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 17, 18, 22, 25, 30, 33, 34, 45, 50, 51, 55, 66, 75, 85, 90, 99, 102, 110, 150, 153, 165, 170, 187, 198, 225, 255, 275, 306, 330, 374, 425, 450, 495, 510, 550, 561, 765, 825, 850, 935, 990, 1122, 1275, 1530, 1650, 1683, 1870, 2475, 2550, 2805, 3366, 3825, 4675, 4950, 5610, 7650, 8415, 9350, 14025, 16830, 28050, 42075

Step-4: Factors of 84170

List of positive integer factors of 84170 that divides 84150 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 443, 886, 2215, 4430, 8417, 16834, 42085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84150 and 84170. The biggest common factor number is the GCF number.
So the greatest common factor 84150 and 84170 is 10.

Also check out the Least Common Multiple of 84150 and 84170