What is the Greatest Common Factor of 83385 and 83400?

Greatest common factor (GCF) of 83385 and 83400 is 15.

GCF(83385,83400) = 15

We will now calculate the prime factors of 83385 and 83400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83385 and 83400.

How to find the GCF of 83385 and 83400?

We will first find the prime factorization of 83385 and 83400. After we will calculate the factors of 83385 and 83400 and find the biggest common factor number .

Step-1: Prime Factorization of 83385

Prime factors of 83385 are 3, 5, 17, 109. Prime factorization of 83385 in exponential form is:

83385 = 3² × 5¹ × 17¹ × 109¹

Step-2: Prime Factorization of 83400

Prime factors of 83400 are 2, 3, 5, 139. Prime factorization of 83400 in exponential form is:

83400 = 2³ × 3¹ × 5² × 139¹

Step-3: Factors of 83385

List of positive integer factors of 83385 that divides 83385 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 109, 153, 255, 327, 545, 765, 981, 1635, 1853, 4905, 5559, 9265, 16677, 27795

Step-4: Factors of 83400

List of positive integer factors of 83400 that divides 83385 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 139, 150, 200, 278, 300, 417, 556, 600, 695, 834, 1112, 1390, 1668, 2085, 2780, 3336, 3475, 4170, 5560, 6950, 8340, 10425, 13900, 16680, 20850, 27800, 41700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83385 and 83400. The biggest common factor number is the GCF number.
So the greatest common factor 83385 and 83400 is 15.

Also check out the Least Common Multiple of 83385 and 83400