What is the Greatest Common Factor of 33840 and 33860?

Greatest common factor (GCF) of 33840 and 33860 is 20.

GCF(33840,33860) = 20

We will now calculate the prime factors of 33840 and 33860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33840 and 33860.

How to find the GCF of 33840 and 33860?

We will first find the prime factorization of 33840 and 33860. After we will calculate the factors of 33840 and 33860 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 33860

Prime factors of 33860 are 2, 5, 1693. Prime factorization of 33860 in exponential form is:

33860 = 2² × 5¹ × 1693¹

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 33860

List of positive integer factors of 33860 that divides 33840 without a remainder.

1, 2, 4, 5, 10, 20, 1693, 3386, 6772, 8465, 16930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33840 and 33860. The biggest common factor number is the GCF number.
So the greatest common factor 33840 and 33860 is 20.

Also check out the Least Common Multiple of 33840 and 33860