What is the Greatest Common Factor of 83381 and 83400?

Greatest common factor (GCF) of 83381 and 83400 is 1.

GCF(83381,83400) = 1

We will now calculate the prime factors of 83381 and 83400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83381 and 83400.

How to find the GCF of 83381 and 83400?

We will first find the prime factorization of 83381 and 83400. After we will calculate the factors of 83381 and 83400 and find the biggest common factor number .

Step-1: Prime Factorization of 83381

Prime factors of 83381 are 199, 419. Prime factorization of 83381 in exponential form is:

83381 = 199¹ × 419¹

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 83381

List of positive integer factors of 83381 that divides 83381 without a remainder.

1, 199, 419

Step-4: Factors of 83400

List of positive integer factors of 83400 that divides 83381 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 83381 and 83400. The biggest common factor number is the GCF number.
So the greatest common factor 83381 and 83400 is 1.

Also check out the Least Common Multiple of 83381 and 83400