What is the Greatest Common Factor of 33104 and 33120?

Greatest common factor (GCF) of 33104 and 33120 is 16.

GCF(33104,33120) = 16

We will now calculate the prime factors of 33104 and 33120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33104 and 33120.

How to find the GCF of 33104 and 33120?

We will first find the prime factorization of 33104 and 33120. After we will calculate the factors of 33104 and 33120 and find the biggest common factor number .

Step-1: Prime Factorization of 33104

Prime factors of 33104 are 2, 2069. Prime factorization of 33104 in exponential form is:

33104 = 2⁴ × 2069¹

Step-2: Prime Factorization of 33120

Prime factors of 33120 are 2, 3, 5, 23. Prime factorization of 33120 in exponential form is:

33120 = 2⁵ × 3² × 5¹ × 23¹

Step-3: Factors of 33104

List of positive integer factors of 33104 that divides 33104 without a remainder.

1, 2, 4, 8, 16, 2069, 4138, 8276, 16552

Step-4: Factors of 33120

List of positive integer factors of 33120 that divides 33104 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 32, 36, 40, 45, 46, 48, 60, 69, 72, 80, 90, 92, 96, 115, 120, 138, 144, 160, 180, 184, 207, 230, 240, 276, 288, 345, 360, 368, 414, 460, 480, 552, 690, 720, 736, 828, 920, 1035, 1104, 1380, 1440, 1656, 1840, 2070, 2208, 2760, 3312, 3680, 4140, 5520, 6624, 8280, 11040, 16560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33104 and 33120. The biggest common factor number is the GCF number.
So the greatest common factor 33104 and 33120 is 16.

Also check out the Least Common Multiple of 33104 and 33120