What is the Greatest Common Factor of 33360 and 33376?

Greatest common factor (GCF) of 33360 and 33376 is 16.

GCF(33360,33376) = 16

We will now calculate the prime factors of 33360 and 33376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33360 and 33376.

How to find the GCF of 33360 and 33376?

We will first find the prime factorization of 33360 and 33376. After we will calculate the factors of 33360 and 33376 and find the biggest common factor number .

Step-1: Prime Factorization of 33360

Prime factors of 33360 are 2, 3, 5, 139. Prime factorization of 33360 in exponential form is:

33360 = 2⁴ × 3¹ × 5¹ × 139¹

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 33360

List of positive integer factors of 33360 that divides 33360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 139, 240, 278, 417, 556, 695, 834, 1112, 1390, 1668, 2085, 2224, 2780, 3336, 4170, 5560, 6672, 8340, 11120, 16680

Step-4: Factors of 33376

List of positive integer factors of 33376 that divides 33360 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 33360 and 33376. The biggest common factor number is the GCF number.
So the greatest common factor 33360 and 33376 is 16.

Also check out the Least Common Multiple of 33360 and 33376