What is the Greatest Common Factor of 33723 and 33732?

Greatest common factor (GCF) of 33723 and 33732 is 9.

GCF(33723,33732) = 9

We will now calculate the prime factors of 33723 and 33732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33723 and 33732.

How to find the GCF of 33723 and 33732?

We will first find the prime factorization of 33723 and 33732. After we will calculate the factors of 33723 and 33732 and find the biggest common factor number .

Step-1: Prime Factorization of 33723

Prime factors of 33723 are 3, 1249. Prime factorization of 33723 in exponential form is:

33723 = 3³ × 1249¹

Step-2: Prime Factorization of 33732

Prime factors of 33732 are 2, 3, 937. Prime factorization of 33732 in exponential form is:

33732 = 2² × 3² × 937¹

Step-3: Factors of 33723

List of positive integer factors of 33723 that divides 33723 without a remainder.

1, 3, 9, 27, 1249, 3747, 11241

Step-4: Factors of 33732

List of positive integer factors of 33732 that divides 33723 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 937, 1874, 2811, 3748, 5622, 8433, 11244, 16866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33723 and 33732. The biggest common factor number is the GCF number.
So the greatest common factor 33723 and 33732 is 9.

Also check out the Least Common Multiple of 33723 and 33732