What is the Greatest Common Factor of 83565 and 83583?

Greatest common factor (GCF) of 83565 and 83583 is 9.

GCF(83565,83583) = 9

We will now calculate the prime factors of 83565 and 83583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83565 and 83583.

How to find the GCF of 83565 and 83583?

We will first find the prime factorization of 83565 and 83583. After we will calculate the factors of 83565 and 83583 and find the biggest common factor number .

Step-1: Prime Factorization of 83565

Prime factors of 83565 are 3, 5, 619. Prime factorization of 83565 in exponential form is:

83565 = 3³ × 5¹ × 619¹

Step-2: Prime Factorization of 83583

Prime factors of 83583 are 3, 37, 251. Prime factorization of 83583 in exponential form is:

83583 = 3² × 37¹ × 251¹

Step-3: Factors of 83565

List of positive integer factors of 83565 that divides 83565 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 619, 1857, 3095, 5571, 9285, 16713, 27855

Step-4: Factors of 83583

List of positive integer factors of 83583 that divides 83565 without a remainder.

1, 3, 9, 37, 111, 251, 333, 753, 2259, 9287, 27861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83565 and 83583. The biggest common factor number is the GCF number.
So the greatest common factor 83565 and 83583 is 9.

Also check out the Least Common Multiple of 83565 and 83583