What is the Greatest Common Factor of 39945 and 39954?

Greatest common factor (GCF) of 39945 and 39954 is 3.

GCF(39945,39954) = 3

We will now calculate the prime factors of 39945 and 39954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39945 and 39954.

How to find the GCF of 39945 and 39954?

We will first find the prime factorization of 39945 and 39954. After we will calculate the factors of 39945 and 39954 and find the biggest common factor number .

Step-1: Prime Factorization of 39945

Prime factors of 39945 are 3, 5, 2663. Prime factorization of 39945 in exponential form is:

39945 = 3¹ × 5¹ × 2663¹

Step-2: Prime Factorization of 39954

Prime factors of 39954 are 2, 3, 6659. Prime factorization of 39954 in exponential form is:

39954 = 2¹ × 3¹ × 6659¹

Step-3: Factors of 39945

List of positive integer factors of 39945 that divides 39945 without a remainder.

1, 3, 5, 15, 2663, 7989, 13315

Step-4: Factors of 39954

List of positive integer factors of 39954 that divides 39945 without a remainder.

1, 2, 3, 6, 6659, 13318, 19977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39945 and 39954. The biggest common factor number is the GCF number.
So the greatest common factor 39945 and 39954 is 3.

Also check out the Least Common Multiple of 39945 and 39954