What is the Greatest Common Factor of 33834 and 33852?

Greatest common factor (GCF) of 33834 and 33852 is 6.

GCF(33834,33852) = 6

We will now calculate the prime factors of 33834 and 33852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33834 and 33852.

How to find the GCF of 33834 and 33852?

We will first find the prime factorization of 33834 and 33852. After we will calculate the factors of 33834 and 33852 and find the biggest common factor number .

Step-1: Prime Factorization of 33834

Prime factors of 33834 are 2, 3, 5639. Prime factorization of 33834 in exponential form is:

33834 = 2¹ × 3¹ × 5639¹

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 33834

List of positive integer factors of 33834 that divides 33834 without a remainder.

1, 2, 3, 6, 5639, 11278, 16917

Step-4: Factors of 33852

List of positive integer factors of 33852 that divides 33834 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 33834 and 33852. The biggest common factor number is the GCF number.
So the greatest common factor 33834 and 33852 is 6.

Also check out the Least Common Multiple of 33834 and 33852