What is the Greatest Common Factor of 33840 and 33856?

Greatest common factor (GCF) of 33840 and 33856 is 16.

GCF(33840,33856) = 16

We will now calculate the prime factors of 33840 and 33856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33840 and 33856.

How to find the GCF of 33840 and 33856?

We will first find the prime factorization of 33840 and 33856. After we will calculate the factors of 33840 and 33856 and find the biggest common factor number .

Step-1: Prime Factorization of 33840

Prime factors of 33840 are 2, 3, 5, 47. Prime factorization of 33840 in exponential form is:

33840 = 2⁴ × 3² × 5¹ × 47¹

Step-2: Prime Factorization of 33856

Prime factors of 33856 are 2, 23. Prime factorization of 33856 in exponential form is:

33856 = 2⁶ × 23²

Step-3: Factors of 33840

List of positive integer factors of 33840 that divides 33840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 47, 48, 60, 72, 80, 90, 94, 120, 141, 144, 180, 188, 235, 240, 282, 360, 376, 423, 470, 564, 705, 720, 752, 846, 940, 1128, 1410, 1692, 1880, 2115, 2256, 2820, 3384, 3760, 4230, 5640, 6768, 8460, 11280, 16920

Step-4: Factors of 33856

List of positive integer factors of 33856 that divides 33840 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 529, 736, 1058, 1472, 2116, 4232, 8464, 16928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33840 and 33856. The biggest common factor number is the GCF number.
So the greatest common factor 33840 and 33856 is 16.

Also check out the Least Common Multiple of 33840 and 33856