What is the Greatest Common Factor of 33822 and 33840?

Greatest common factor (GCF) of 33822 and 33840 is 18.

GCF(33822,33840) = 18

We will now calculate the prime factors of 33822 and 33840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33822 and 33840.

How to find the GCF of 33822 and 33840?

We will first find the prime factorization of 33822 and 33840. After we will calculate the factors of 33822 and 33840 and find the biggest common factor number .

Step-1: Prime Factorization of 33822

Prime factors of 33822 are 2, 3, 1879. Prime factorization of 33822 in exponential form is:

33822 = 2¹ × 3² × 1879¹

Step-2: 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-3: Factors of 33822

List of positive integer factors of 33822 that divides 33822 without a remainder.

1, 2, 3, 6, 9, 18, 1879, 3758, 5637, 11274, 16911

Step-4: Factors of 33840

List of positive integer factors of 33840 that divides 33822 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33822 and 33840. The biggest common factor number is the GCF number.
So the greatest common factor 33822 and 33840 is 18.

Also check out the Least Common Multiple of 33822 and 33840