What is the Greatest Common Factor of 83355 and 83366?

Greatest common factor (GCF) of 83355 and 83366 is 1.

GCF(83355,83366) = 1

We will now calculate the prime factors of 83355 and 83366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83355 and 83366.

How to find the GCF of 83355 and 83366?

We will first find the prime factorization of 83355 and 83366. After we will calculate the factors of 83355 and 83366 and find the biggest common factor number .

Step-1: Prime Factorization of 83355

Prime factors of 83355 are 3, 5, 5557. Prime factorization of 83355 in exponential form is:

83355 = 3¹ × 5¹ × 5557¹

Step-2: Prime Factorization of 83366

Prime factors of 83366 are 2, 73, 571. Prime factorization of 83366 in exponential form is:

83366 = 2¹ × 73¹ × 571¹

Step-3: Factors of 83355

List of positive integer factors of 83355 that divides 83355 without a remainder.

1, 3, 5, 15, 5557, 16671, 27785

Step-4: Factors of 83366

List of positive integer factors of 83366 that divides 83355 without a remainder.

1, 2, 73, 146, 571, 1142, 41683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83355 and 83366. The biggest common factor number is the GCF number.
So the greatest common factor 83355 and 83366 is 1.

Also check out the Least Common Multiple of 83355 and 83366