What is the Greatest Common Factor of 39954 and 39959?

Greatest common factor (GCF) of 39954 and 39959 is 1.

GCF(39954,39959) = 1

We will now calculate the prime factors of 39954 and 39959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39954 and 39959.

How to find the GCF of 39954 and 39959?

We will first find the prime factorization of 39954 and 39959. After we will calculate the factors of 39954 and 39959 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39959

Prime factors of 39959 are 31, 1289. Prime factorization of 39959 in exponential form is:

39959 = 31¹ × 1289¹

Step-3: Factors of 39954

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

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

Step-4: Factors of 39959

List of positive integer factors of 39959 that divides 39954 without a remainder.

1, 31, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39954 and 39959. The biggest common factor number is the GCF number.
So the greatest common factor 39954 and 39959 is 1.

Also check out the Least Common Multiple of 39954 and 39959