What is the Greatest Common Factor of 33557 and 33575?

Greatest common factor (GCF) of 33557 and 33575 is 1.

GCF(33557,33575) = 1

We will now calculate the prime factors of 33557 and 33575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33557 and 33575.

How to find the GCF of 33557 and 33575?

We will first find the prime factorization of 33557 and 33575. After we will calculate the factors of 33557 and 33575 and find the biggest common factor number .

Step-1: Prime Factorization of 33557

Prime factors of 33557 are 23, 1459. Prime factorization of 33557 in exponential form is:

33557 = 23¹ × 1459¹

Step-2: Prime Factorization of 33575

Prime factors of 33575 are 5, 17, 79. Prime factorization of 33575 in exponential form is:

33575 = 5² × 17¹ × 79¹

Step-3: Factors of 33557

List of positive integer factors of 33557 that divides 33557 without a remainder.

1, 23, 1459

Step-4: Factors of 33575

List of positive integer factors of 33575 that divides 33557 without a remainder.

1, 5, 17, 25, 79, 85, 395, 425, 1343, 1975, 6715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33557 and 33575. The biggest common factor number is the GCF number.
So the greatest common factor 33557 and 33575 is 1.

Also check out the Least Common Multiple of 33557 and 33575