What is the Greatest Common Factor of 33583 and 33599?

Greatest common factor (GCF) of 33583 and 33599 is 1.

GCF(33583,33599) = 1

We will now calculate the prime factors of 33583 and 33599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33583 and 33599.

How to find the GCF of 33583 and 33599?

We will first find the prime factorization of 33583 and 33599. After we will calculate the factors of 33583 and 33599 and find the biggest common factor number .

Step-1: Prime Factorization of 33583

Prime factors of 33583 are 11, 43, 71. Prime factorization of 33583 in exponential form is:

33583 = 11¹ × 43¹ × 71¹

Step-2: Prime Factorization of 33599

Prime factors of 33599 are 33599. Prime factorization of 33599 in exponential form is:

33599 = 33599¹

Step-3: Factors of 33583

List of positive integer factors of 33583 that divides 33583 without a remainder.

1, 11, 43, 71, 473, 781, 3053

Step-4: Factors of 33599

List of positive integer factors of 33599 that divides 33583 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33583 and 33599. The biggest common factor number is the GCF number.
So the greatest common factor 33583 and 33599 is 1.

Also check out the Least Common Multiple of 33583 and 33599