What is the Greatest Common Factor of 33160 and 33173?

Greatest common factor (GCF) of 33160 and 33173 is 1.

GCF(33160,33173) = 1

We will now calculate the prime factors of 33160 and 33173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33160 and 33173.

How to find the GCF of 33160 and 33173?

We will first find the prime factorization of 33160 and 33173. After we will calculate the factors of 33160 and 33173 and find the biggest common factor number .

Step-1: Prime Factorization of 33160

Prime factors of 33160 are 2, 5, 829. Prime factorization of 33160 in exponential form is:

33160 = 2³ × 5¹ × 829¹

Step-2: Prime Factorization of 33173

Prime factors of 33173 are 7, 677. Prime factorization of 33173 in exponential form is:

33173 = 7² × 677¹

Step-3: Factors of 33160

List of positive integer factors of 33160 that divides 33160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 829, 1658, 3316, 4145, 6632, 8290, 16580

Step-4: Factors of 33173

List of positive integer factors of 33173 that divides 33160 without a remainder.

1, 7, 49, 677, 4739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33160 and 33173. The biggest common factor number is the GCF number.
So the greatest common factor 33160 and 33173 is 1.

Also check out the Least Common Multiple of 33160 and 33173