What is the Greatest Common Factor of 33840 and 33852?

Greatest common factor (GCF) of 33840 and 33852 is 12.

GCF(33840,33852) = 12

We will now calculate the prime factors of 33840 and 33852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33840 and 33852.

How to find the GCF of 33840 and 33852?

We will first find the prime factorization of 33840 and 33852. After we will calculate the factors of 33840 and 33852 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 33852

Prime factors of 33852 are 2, 3, 7, 13, 31. Prime factorization of 33852 in exponential form is:

33852 = 2² × 3¹ × 7¹ × 13¹ × 31¹

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 33852

List of positive integer factors of 33852 that divides 33840 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 31, 39, 42, 52, 62, 78, 84, 91, 93, 124, 156, 182, 186, 217, 273, 364, 372, 403, 434, 546, 651, 806, 868, 1092, 1209, 1302, 1612, 2418, 2604, 2821, 4836, 5642, 8463, 11284, 16926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33840 and 33852. The biggest common factor number is the GCF number.
So the greatest common factor 33840 and 33852 is 12.

Also check out the Least Common Multiple of 33840 and 33852