What is the Greatest Common Factor of 39714 and 39733?

Greatest common factor (GCF) of 39714 and 39733 is 1.

GCF(39714,39733) = 1

We will now calculate the prime factors of 39714 and 39733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39714 and 39733.

How to find the GCF of 39714 and 39733?

We will first find the prime factorization of 39714 and 39733. After we will calculate the factors of 39714 and 39733 and find the biggest common factor number .

Step-1: Prime Factorization of 39714

Prime factors of 39714 are 2, 3, 6619. Prime factorization of 39714 in exponential form is:

39714 = 2¹ × 3¹ × 6619¹

Step-2: Prime Factorization of 39733

Prime factors of 39733 are 39733. Prime factorization of 39733 in exponential form is:

39733 = 39733¹

Step-3: Factors of 39714

List of positive integer factors of 39714 that divides 39714 without a remainder.

1, 2, 3, 6, 6619, 13238, 19857

Step-4: Factors of 39733

List of positive integer factors of 39733 that divides 39714 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39714 and 39733. The biggest common factor number is the GCF number.
So the greatest common factor 39714 and 39733 is 1.

Also check out the Least Common Multiple of 39714 and 39733