What is the Greatest Common Factor of 33762 and 33772?

Greatest common factor (GCF) of 33762 and 33772 is 2.

GCF(33762,33772) = 2

We will now calculate the prime factors of 33762 and 33772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33762 and 33772.

How to find the GCF of 33762 and 33772?

We will first find the prime factorization of 33762 and 33772. After we will calculate the factors of 33762 and 33772 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33772

Prime factors of 33772 are 2, 8443. Prime factorization of 33772 in exponential form is:

33772 = 2² × 8443¹

Step-3: Factors of 33762

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

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

Step-4: Factors of 33772

List of positive integer factors of 33772 that divides 33762 without a remainder.

1, 2, 4, 8443, 16886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33762 and 33772. The biggest common factor number is the GCF number.
So the greatest common factor 33762 and 33772 is 2.

Also check out the Least Common Multiple of 33762 and 33772