What is the Greatest Common Factor of 33910 and 33920?

Greatest common factor (GCF) of 33910 and 33920 is 10.

GCF(33910,33920) = 10

We will now calculate the prime factors of 33910 and 33920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33910 and 33920.

How to find the GCF of 33910 and 33920?

We will first find the prime factorization of 33910 and 33920. After we will calculate the factors of 33910 and 33920 and find the biggest common factor number .

Step-1: Prime Factorization of 33910

Prime factors of 33910 are 2, 5, 3391. Prime factorization of 33910 in exponential form is:

33910 = 2¹ × 5¹ × 3391¹

Step-2: Prime Factorization of 33920

Prime factors of 33920 are 2, 5, 53. Prime factorization of 33920 in exponential form is:

33920 = 2⁷ × 5¹ × 53¹

Step-3: Factors of 33910

List of positive integer factors of 33910 that divides 33910 without a remainder.

1, 2, 5, 10, 3391, 6782, 16955

Step-4: Factors of 33920

List of positive integer factors of 33920 that divides 33910 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 64, 80, 106, 128, 160, 212, 265, 320, 424, 530, 640, 848, 1060, 1696, 2120, 3392, 4240, 6784, 8480, 16960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33910 and 33920. The biggest common factor number is the GCF number.
So the greatest common factor 33910 and 33920 is 10.

Also check out the Least Common Multiple of 33910 and 33920