What is the Greatest Common Factor of 39987 and 40006?

Greatest common factor (GCF) of 39987 and 40006 is 1.

GCF(39987,40006) = 1

We will now calculate the prime factors of 39987 and 40006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39987 and 40006.

How to find the GCF of 39987 and 40006?

We will first find the prime factorization of 39987 and 40006. After we will calculate the factors of 39987 and 40006 and find the biggest common factor number .

Step-1: Prime Factorization of 39987

Prime factors of 39987 are 3, 1481. Prime factorization of 39987 in exponential form is:

39987 = 3³ × 1481¹

Step-2: Prime Factorization of 40006

Prime factors of 40006 are 2, 83, 241. Prime factorization of 40006 in exponential form is:

40006 = 2¹ × 83¹ × 241¹

Step-3: Factors of 39987

List of positive integer factors of 39987 that divides 39987 without a remainder.

1, 3, 9, 27, 1481, 4443, 13329

Step-4: Factors of 40006

List of positive integer factors of 40006 that divides 39987 without a remainder.

1, 2, 83, 166, 241, 482, 20003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39987 and 40006. The biggest common factor number is the GCF number.
So the greatest common factor 39987 and 40006 is 1.

Also check out the Least Common Multiple of 39987 and 40006