What is the Greatest Common Factor of 84133 and 84150?

Greatest common factor (GCF) of 84133 and 84150 is 17.

GCF(84133,84150) = 17

We will now calculate the prime factors of 84133 and 84150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84133 and 84150.

How to find the GCF of 84133 and 84150?

We will first find the prime factorization of 84133 and 84150. After we will calculate the factors of 84133 and 84150 and find the biggest common factor number .

Step-1: Prime Factorization of 84133

Prime factors of 84133 are 7, 17, 101. Prime factorization of 84133 in exponential form is:

84133 = 7² × 17¹ × 101¹

Step-2: 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-3: Factors of 84133

List of positive integer factors of 84133 that divides 84133 without a remainder.

1, 7, 17, 49, 101, 119, 707, 833, 1717, 4949, 12019

Step-4: Factors of 84150

List of positive integer factors of 84150 that divides 84133 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84133 and 84150. The biggest common factor number is the GCF number.
So the greatest common factor 84133 and 84150 is 17.

Also check out the Least Common Multiple of 84133 and 84150