What is the Greatest Common Factor of 39723 and 39731?

Greatest common factor (GCF) of 39723 and 39731 is 1.

GCF(39723,39731) = 1

We will now calculate the prime factors of 39723 and 39731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39723 and 39731.

How to find the GCF of 39723 and 39731?

We will first find the prime factorization of 39723 and 39731. After we will calculate the factors of 39723 and 39731 and find the biggest common factor number .

Step-1: Prime Factorization of 39723

Prime factors of 39723 are 3, 13241. Prime factorization of 39723 in exponential form is:

39723 = 3¹ × 13241¹

Step-2: Prime Factorization of 39731

Prime factors of 39731 are 67, 593. Prime factorization of 39731 in exponential form is:

39731 = 67¹ × 593¹

Step-3: Factors of 39723

List of positive integer factors of 39723 that divides 39723 without a remainder.

1, 3, 13241

Step-4: Factors of 39731

List of positive integer factors of 39731 that divides 39723 without a remainder.

1, 67, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39723 and 39731. The biggest common factor number is the GCF number.
So the greatest common factor 39723 and 39731 is 1.

Also check out the Least Common Multiple of 39723 and 39731