What is the Greatest Common Factor of 33968 and 33973?

Greatest common factor (GCF) of 33968 and 33973 is 1.

GCF(33968,33973) = 1

We will now calculate the prime factors of 33968 and 33973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33968 and 33973.

How to find the GCF of 33968 and 33973?

We will first find the prime factorization of 33968 and 33973. After we will calculate the factors of 33968 and 33973 and find the biggest common factor number .

Step-1: Prime Factorization of 33968

Prime factors of 33968 are 2, 11, 193. Prime factorization of 33968 in exponential form is:

33968 = 2⁴ × 11¹ × 193¹

Step-2: Prime Factorization of 33973

Prime factors of 33973 are 53, 641. Prime factorization of 33973 in exponential form is:

33973 = 53¹ × 641¹

Step-3: Factors of 33968

List of positive integer factors of 33968 that divides 33968 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 193, 386, 772, 1544, 2123, 3088, 4246, 8492, 16984

Step-4: Factors of 33973

List of positive integer factors of 33973 that divides 33968 without a remainder.

1, 53, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33968 and 33973. The biggest common factor number is the GCF number.
So the greatest common factor 33968 and 33973 is 1.

Also check out the Least Common Multiple of 33968 and 33973