What is the Greatest Common Factor of 33830 and 33840?

Greatest common factor (GCF) of 33830 and 33840 is 10.

GCF(33830,33840) = 10

We will now calculate the prime factors of 33830 and 33840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33830 and 33840.

How to find the GCF of 33830 and 33840?

We will first find the prime factorization of 33830 and 33840. After we will calculate the factors of 33830 and 33840 and find the biggest common factor number .

Step-1: Prime Factorization of 33830

Prime factors of 33830 are 2, 5, 17, 199. Prime factorization of 33830 in exponential form is:

33830 = 2¹ × 5¹ × 17¹ × 199¹

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 33830

List of positive integer factors of 33830 that divides 33830 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 199, 398, 995, 1990, 3383, 6766, 16915

Step-4: Factors of 33840

List of positive integer factors of 33840 that divides 33830 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 33830 and 33840. The biggest common factor number is the GCF number.
So the greatest common factor 33830 and 33840 is 10.

Also check out the Least Common Multiple of 33830 and 33840