What is the Greatest Common Factor of 84140 and 84150?

Greatest common factor (GCF) of 84140 and 84150 is 10.

GCF(84140,84150) = 10

We will now calculate the prime factors of 84140 and 84150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84140 and 84150.

How to find the GCF of 84140 and 84150?

We will first find the prime factorization of 84140 and 84150. After we will calculate the factors of 84140 and 84150 and find the biggest common factor number .

Step-1: Prime Factorization of 84140

Prime factors of 84140 are 2, 5, 7, 601. Prime factorization of 84140 in exponential form is:

84140 = 2² × 5¹ × 7¹ × 601¹

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 84140

List of positive integer factors of 84140 that divides 84140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 601, 1202, 2404, 3005, 4207, 6010, 8414, 12020, 16828, 21035, 42070

Step-4: Factors of 84150

List of positive integer factors of 84150 that divides 84140 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 84140 and 84150. The biggest common factor number is the GCF number.
So the greatest common factor 84140 and 84150 is 10.

Also check out the Least Common Multiple of 84140 and 84150