What is the Greatest Common Factor of 33548 and 33567?

Greatest common factor (GCF) of 33548 and 33567 is 1.

GCF(33548,33567) = 1

We will now calculate the prime factors of 33548 and 33567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33548 and 33567.

How to find the GCF of 33548 and 33567?

We will first find the prime factorization of 33548 and 33567. After we will calculate the factors of 33548 and 33567 and find the biggest common factor number .

Step-1: Prime Factorization of 33548

Prime factors of 33548 are 2, 8387. Prime factorization of 33548 in exponential form is:

33548 = 2² × 8387¹

Step-2: Prime Factorization of 33567

Prime factors of 33567 are 3, 67, 167. Prime factorization of 33567 in exponential form is:

33567 = 3¹ × 67¹ × 167¹

Step-3: Factors of 33548

List of positive integer factors of 33548 that divides 33548 without a remainder.

1, 2, 4, 8387, 16774

Step-4: Factors of 33567

List of positive integer factors of 33567 that divides 33548 without a remainder.

1, 3, 67, 167, 201, 501, 11189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33548 and 33567. The biggest common factor number is the GCF number.
So the greatest common factor 33548 and 33567 is 1.

Also check out the Least Common Multiple of 33548 and 33567