What is the Greatest Common Factor of 83400 and 83406?

Greatest common factor (GCF) of 83400 and 83406 is 6.

GCF(83400,83406) = 6

We will now calculate the prime factors of 83400 and 83406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83400 and 83406.

How to find the GCF of 83400 and 83406?

We will first find the prime factorization of 83400 and 83406. After we will calculate the factors of 83400 and 83406 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83406

Prime factors of 83406 are 2, 3, 13901. Prime factorization of 83406 in exponential form is:

83406 = 2¹ × 3¹ × 13901¹

Step-3: Factors of 83400

List of positive integer factors of 83400 that divides 83400 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

Step-4: Factors of 83406

List of positive integer factors of 83406 that divides 83400 without a remainder.

1, 2, 3, 6, 13901, 27802, 41703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83400 and 83406. The biggest common factor number is the GCF number.
So the greatest common factor 83400 and 83406 is 6.

Also check out the Least Common Multiple of 83400 and 83406