What is the Greatest Common Factor of 33344 and 33362?

Greatest common factor (GCF) of 33344 and 33362 is 2.

GCF(33344,33362) = 2

We will now calculate the prime factors of 33344 and 33362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33344 and 33362.

How to find the GCF of 33344 and 33362?

We will first find the prime factorization of 33344 and 33362. After we will calculate the factors of 33344 and 33362 and find the biggest common factor number .

Step-1: Prime Factorization of 33344

Prime factors of 33344 are 2, 521. Prime factorization of 33344 in exponential form is:

33344 = 2⁶ × 521¹

Step-2: Prime Factorization of 33362

Prime factors of 33362 are 2, 7, 2383. Prime factorization of 33362 in exponential form is:

33362 = 2¹ × 7¹ × 2383¹

Step-3: Factors of 33344

List of positive integer factors of 33344 that divides 33344 without a remainder.

1, 2, 4, 8, 16, 32, 64, 521, 1042, 2084, 4168, 8336, 16672

Step-4: Factors of 33362

List of positive integer factors of 33362 that divides 33344 without a remainder.

1, 2, 7, 14, 2383, 4766, 16681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33344 and 33362. The biggest common factor number is the GCF number.
So the greatest common factor 33344 and 33362 is 2.

Also check out the Least Common Multiple of 33344 and 33362