What is the Greatest Common Factor of 53583 and 53589?

Greatest common factor (GCF) of 53583 and 53589 is 3.

GCF(53583,53589) = 3

We will now calculate the prime factors of 53583 and 53589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53583 and 53589.

How to find the GCF of 53583 and 53589?

We will first find the prime factorization of 53583 and 53589. After we will calculate the factors of 53583 and 53589 and find the biggest common factor number .

Step-1: Prime Factorization of 53583

Prime factors of 53583 are 3, 53, 337. Prime factorization of 53583 in exponential form is:

53583 = 3¹ × 53¹ × 337¹

Step-2: Prime Factorization of 53589

Prime factors of 53589 are 3, 17863. Prime factorization of 53589 in exponential form is:

53589 = 3¹ × 17863¹

Step-3: Factors of 53583

List of positive integer factors of 53583 that divides 53583 without a remainder.

1, 3, 53, 159, 337, 1011, 17861

Step-4: Factors of 53589

List of positive integer factors of 53589 that divides 53583 without a remainder.

1, 3, 17863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53583 and 53589. The biggest common factor number is the GCF number.
So the greatest common factor 53583 and 53589 is 3.

Also check out the Least Common Multiple of 53583 and 53589