What is the Greatest Common Factor of 33756 and 33762?

Greatest common factor (GCF) of 33756 and 33762 is 6.

GCF(33756,33762) = 6

We will now calculate the prime factors of 33756 and 33762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33756 and 33762.

How to find the GCF of 33756 and 33762?

We will first find the prime factorization of 33756 and 33762. After we will calculate the factors of 33756 and 33762 and find the biggest common factor number .

Step-1: Prime Factorization of 33756

Prime factors of 33756 are 2, 3, 29, 97. Prime factorization of 33756 in exponential form is:

33756 = 2² × 3¹ × 29¹ × 97¹

Step-2: Prime Factorization of 33762

Prime factors of 33762 are 2, 3, 17, 331. Prime factorization of 33762 in exponential form is:

33762 = 2¹ × 3¹ × 17¹ × 331¹

Step-3: Factors of 33756

List of positive integer factors of 33756 that divides 33756 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 97, 116, 174, 194, 291, 348, 388, 582, 1164, 2813, 5626, 8439, 11252, 16878

Step-4: Factors of 33762

List of positive integer factors of 33762 that divides 33756 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 331, 662, 993, 1986, 5627, 11254, 16881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33756 and 33762. The biggest common factor number is the GCF number.
So the greatest common factor 33756 and 33762 is 6.

Also check out the Least Common Multiple of 33756 and 33762