What is the Greatest Common Factor of 33852 and 33866?

Greatest common factor (GCF) of 33852 and 33866 is 14.

GCF(33852,33866) = 14

We will now calculate the prime factors of 33852 and 33866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33852 and 33866.

How to find the GCF of 33852 and 33866?

We will first find the prime factorization of 33852 and 33866. After we will calculate the factors of 33852 and 33866 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33866

Prime factors of 33866 are 2, 7, 41, 59. Prime factorization of 33866 in exponential form is:

33866 = 2¹ × 7¹ × 41¹ × 59¹

Step-3: Factors of 33852

List of positive integer factors of 33852 that divides 33852 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

Step-4: Factors of 33866

List of positive integer factors of 33866 that divides 33852 without a remainder.

1, 2, 7, 14, 41, 59, 82, 118, 287, 413, 574, 826, 2419, 4838, 16933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33852 and 33866. The biggest common factor number is the GCF number.
So the greatest common factor 33852 and 33866 is 14.

Also check out the Least Common Multiple of 33852 and 33866