What is the Greatest Common Factor of 33369 and 33376?

Greatest common factor (GCF) of 33369 and 33376 is 7.

GCF(33369,33376) = 7

We will now calculate the prime factors of 33369 and 33376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33369 and 33376.

How to find the GCF of 33369 and 33376?

We will first find the prime factorization of 33369 and 33376. After we will calculate the factors of 33369 and 33376 and find the biggest common factor number .

Step-1: Prime Factorization of 33369

Prime factors of 33369 are 3, 7, 227. Prime factorization of 33369 in exponential form is:

33369 = 3¹ × 7² × 227¹

Step-2: Prime Factorization of 33376

Prime factors of 33376 are 2, 7, 149. Prime factorization of 33376 in exponential form is:

33376 = 2⁵ × 7¹ × 149¹

Step-3: Factors of 33369

List of positive integer factors of 33369 that divides 33369 without a remainder.

1, 3, 7, 21, 49, 147, 227, 681, 1589, 4767, 11123

Step-4: Factors of 33376

List of positive integer factors of 33376 that divides 33369 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 149, 224, 298, 596, 1043, 1192, 2086, 2384, 4172, 4768, 8344, 16688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33369 and 33376. The biggest common factor number is the GCF number.
So the greatest common factor 33369 and 33376 is 7.

Also check out the Least Common Multiple of 33369 and 33376