What is the Greatest Common Factor of 39966 and 39973?

Greatest common factor (GCF) of 39966 and 39973 is 1.

GCF(39966,39973) = 1

We will now calculate the prime factors of 39966 and 39973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39966 and 39973.

How to find the GCF of 39966 and 39973?

We will first find the prime factorization of 39966 and 39973. After we will calculate the factors of 39966 and 39973 and find the biggest common factor number .

Step-1: Prime Factorization of 39966

Prime factors of 39966 are 2, 3, 6661. Prime factorization of 39966 in exponential form is:

39966 = 2¹ × 3¹ × 6661¹

Step-2: Prime Factorization of 39973

Prime factors of 39973 are 71, 563. Prime factorization of 39973 in exponential form is:

39973 = 71¹ × 563¹

Step-3: Factors of 39966

List of positive integer factors of 39966 that divides 39966 without a remainder.

1, 2, 3, 6, 6661, 13322, 19983

Step-4: Factors of 39973

List of positive integer factors of 39973 that divides 39966 without a remainder.

1, 71, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39966 and 39973. The biggest common factor number is the GCF number.
So the greatest common factor 39966 and 39973 is 1.

Also check out the Least Common Multiple of 39966 and 39973