What is the Greatest Common Factor of 33541 and 33557?

Greatest common factor (GCF) of 33541 and 33557 is 1.

GCF(33541,33557) = 1

We will now calculate the prime factors of 33541 and 33557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33541 and 33557.

How to find the GCF of 33541 and 33557?

We will first find the prime factorization of 33541 and 33557. After we will calculate the factors of 33541 and 33557 and find the biggest common factor number .

Step-1: Prime Factorization of 33541

Prime factors of 33541 are 17, 1973. Prime factorization of 33541 in exponential form is:

33541 = 17¹ × 1973¹

Step-2: Prime Factorization of 33557

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

33557 = 23¹ × 1459¹

Step-3: Factors of 33541

List of positive integer factors of 33541 that divides 33541 without a remainder.

1, 17, 1973

Step-4: Factors of 33557

List of positive integer factors of 33557 that divides 33541 without a remainder.

1, 23, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33541 and 33557. The biggest common factor number is the GCF number.
So the greatest common factor 33541 and 33557 is 1.

Also check out the Least Common Multiple of 33541 and 33557