What is the Greatest Common Factor of 33360 and 33364?

Greatest common factor (GCF) of 33360 and 33364 is 4.

GCF(33360,33364) = 4

We will now calculate the prime factors of 33360 and 33364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33360 and 33364.

How to find the GCF of 33360 and 33364?

We will first find the prime factorization of 33360 and 33364. After we will calculate the factors of 33360 and 33364 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 33364

Prime factors of 33364 are 2, 19, 439. Prime factorization of 33364 in exponential form is:

33364 = 2² × 19¹ × 439¹

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 33364

List of positive integer factors of 33364 that divides 33360 without a remainder.

1, 2, 4, 19, 38, 76, 439, 878, 1756, 8341, 16682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33360 and 33364. The biggest common factor number is the GCF number.
So the greatest common factor 33360 and 33364 is 4.

Also check out the Least Common Multiple of 33360 and 33364