What is the Greatest Common Factor of 33852 and 33865?

Greatest common factor (GCF) of 33852 and 33865 is 13.

GCF(33852,33865) = 13

We will now calculate the prime factors of 33852 and 33865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33852 and 33865.

How to find the GCF of 33852 and 33865?

We will first find the prime factorization of 33852 and 33865. After we will calculate the factors of 33852 and 33865 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 33865

Prime factors of 33865 are 5, 13, 521. Prime factorization of 33865 in exponential form is:

33865 = 5¹ × 13¹ × 521¹

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 33865

List of positive integer factors of 33865 that divides 33852 without a remainder.

1, 5, 13, 65, 521, 2605, 6773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33852 and 33865. The biggest common factor number is the GCF number.
So the greatest common factor 33852 and 33865 is 13.

Also check out the Least Common Multiple of 33852 and 33865