What is the Greatest Common Factor of 39954 and 39964?

Greatest common factor (GCF) of 39954 and 39964 is 2.

GCF(39954,39964) = 2

We will now calculate the prime factors of 39954 and 39964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39954 and 39964.

How to find the GCF of 39954 and 39964?

We will first find the prime factorization of 39954 and 39964. After we will calculate the factors of 39954 and 39964 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 39964

Prime factors of 39964 are 2, 97, 103. Prime factorization of 39964 in exponential form is:

39964 = 2² × 97¹ × 103¹

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 39964

List of positive integer factors of 39964 that divides 39954 without a remainder.

1, 2, 4, 97, 103, 194, 206, 388, 412, 9991, 19982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39954 and 39964. The biggest common factor number is the GCF number.
So the greatest common factor 39954 and 39964 is 2.

Also check out the Least Common Multiple of 39954 and 39964