What is the Greatest Common Factor of 83583 and 83598?

Greatest common factor (GCF) of 83583 and 83598 is 3.

GCF(83583,83598) = 3

We will now calculate the prime factors of 83583 and 83598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83583 and 83598.

How to find the GCF of 83583 and 83598?

We will first find the prime factorization of 83583 and 83598. After we will calculate the factors of 83583 and 83598 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83598

Prime factors of 83598 are 2, 3, 13933. Prime factorization of 83598 in exponential form is:

83598 = 2¹ × 3¹ × 13933¹

Step-3: Factors of 83583

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

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

Step-4: Factors of 83598

List of positive integer factors of 83598 that divides 83583 without a remainder.

1, 2, 3, 6, 13933, 27866, 41799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83583 and 83598. The biggest common factor number is the GCF number.
So the greatest common factor 83583 and 83598 is 3.

Also check out the Least Common Multiple of 83583 and 83598