What is the Greatest Common Factor of 83559 and 83571?

Greatest common factor (GCF) of 83559 and 83571 is 3.

GCF(83559,83571) = 3

We will now calculate the prime factors of 83559 and 83571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83559 and 83571.

How to find the GCF of 83559 and 83571?

We will first find the prime factorization of 83559 and 83571. After we will calculate the factors of 83559 and 83571 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 83571

Prime factors of 83571 are 3, 89, 313. Prime factorization of 83571 in exponential form is:

83571 = 3¹ × 89¹ × 313¹

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 83571

List of positive integer factors of 83571 that divides 83559 without a remainder.

1, 3, 89, 267, 313, 939, 27857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83559 and 83571. The biggest common factor number is the GCF number.
So the greatest common factor 83559 and 83571 is 3.

Also check out the Least Common Multiple of 83559 and 83571