What is the Greatest Common Factor of 33557 and 33562?

Greatest common factor (GCF) of 33557 and 33562 is 1.

GCF(33557,33562) = 1

We will now calculate the prime factors of 33557 and 33562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33557 and 33562.

How to find the GCF of 33557 and 33562?

We will first find the prime factorization of 33557 and 33562. After we will calculate the factors of 33557 and 33562 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 33562

Prime factors of 33562 are 2, 97, 173. Prime factorization of 33562 in exponential form is:

33562 = 2¹ × 97¹ × 173¹

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 33562

List of positive integer factors of 33562 that divides 33557 without a remainder.

1, 2, 97, 173, 194, 346, 16781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33557 and 33562. The biggest common factor number is the GCF number.
So the greatest common factor 33557 and 33562 is 1.

Also check out the Least Common Multiple of 33557 and 33562