What is the Greatest Common Factor of 39981 and 39985?

Greatest common factor (GCF) of 39981 and 39985 is 1.

GCF(39981,39985) = 1

We will now calculate the prime factors of 39981 and 39985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39981 and 39985.

How to find the GCF of 39981 and 39985?

We will first find the prime factorization of 39981 and 39985. After we will calculate the factors of 39981 and 39985 and find the biggest common factor number .

Step-1: Prime Factorization of 39981

Prime factors of 39981 are 3, 13327. Prime factorization of 39981 in exponential form is:

39981 = 3¹ × 13327¹

Step-2: Prime Factorization of 39985

Prime factors of 39985 are 5, 11, 727. Prime factorization of 39985 in exponential form is:

39985 = 5¹ × 11¹ × 727¹

Step-3: Factors of 39981

List of positive integer factors of 39981 that divides 39981 without a remainder.

1, 3, 13327

Step-4: Factors of 39985

List of positive integer factors of 39985 that divides 39981 without a remainder.

1, 5, 11, 55, 727, 3635, 7997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39981 and 39985. The biggest common factor number is the GCF number.
So the greatest common factor 39981 and 39985 is 1.

Also check out the Least Common Multiple of 39981 and 39985