What is the Greatest Common Factor of 39921 and 39933?

Greatest common factor (GCF) of 39921 and 39933 is 3.

GCF(39921,39933) = 3

We will now calculate the prime factors of 39921 and 39933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39921 and 39933.

How to find the GCF of 39921 and 39933?

We will first find the prime factorization of 39921 and 39933. After we will calculate the factors of 39921 and 39933 and find the biggest common factor number .

Step-1: Prime Factorization of 39921

Prime factors of 39921 are 3, 7, 1901. Prime factorization of 39921 in exponential form is:

39921 = 3¹ × 7¹ × 1901¹

Step-2: Prime Factorization of 39933

Prime factors of 39933 are 3, 17, 29. Prime factorization of 39933 in exponential form is:

39933 = 3⁴ × 17¹ × 29¹

Step-3: Factors of 39921

List of positive integer factors of 39921 that divides 39921 without a remainder.

1, 3, 7, 21, 1901, 5703, 13307

Step-4: Factors of 39933

List of positive integer factors of 39933 that divides 39921 without a remainder.

1, 3, 9, 17, 27, 29, 51, 81, 87, 153, 261, 459, 493, 783, 1377, 1479, 2349, 4437, 13311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39921 and 39933. The biggest common factor number is the GCF number.
So the greatest common factor 39921 and 39933 is 3.

Also check out the Least Common Multiple of 39921 and 39933