What is the Greatest Common Factor of 83559 and 83565?

Greatest common factor (GCF) of 83559 and 83565 is 3.

GCF(83559,83565) = 3

We will now calculate the prime factors of 83559 and 83565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83559 and 83565.

How to find the GCF of 83559 and 83565?

We will first find the prime factorization of 83559 and 83565. After we will calculate the factors of 83559 and 83565 and find the biggest common factor number .

Step-1: Prime Factorization of 83559

Prime factors of 83559 are 3, 7, 23, 173. Prime factorization of 83559 in exponential form is:

83559 = 3¹ × 7¹ × 23¹ × 173¹

Step-2: 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-3: Factors of 83559

List of positive integer factors of 83559 that divides 83559 without a remainder.

1, 3, 7, 21, 23, 69, 161, 173, 483, 519, 1211, 3633, 3979, 11937, 27853

Step-4: Factors of 83565

List of positive integer factors of 83565 that divides 83559 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83559 and 83565. The biggest common factor number is the GCF number.
So the greatest common factor 83559 and 83565 is 3.

Also check out the Least Common Multiple of 83559 and 83565