What is the Greatest Common Factor of 39773 and 39788?

Greatest common factor (GCF) of 39773 and 39788 is 1.

GCF(39773,39788) = 1

We will now calculate the prime factors of 39773 and 39788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39773 and 39788.

How to find the GCF of 39773 and 39788?

We will first find the prime factorization of 39773 and 39788. After we will calculate the factors of 39773 and 39788 and find the biggest common factor number .

Step-1: Prime Factorization of 39773

Prime factors of 39773 are 31, 1283. Prime factorization of 39773 in exponential form is:

39773 = 31¹ × 1283¹

Step-2: Prime Factorization of 39788

Prime factors of 39788 are 2, 7, 29. Prime factorization of 39788 in exponential form is:

39788 = 2² × 7³ × 29¹

Step-3: Factors of 39773

List of positive integer factors of 39773 that divides 39773 without a remainder.

1, 31, 1283

Step-4: Factors of 39788

List of positive integer factors of 39788 that divides 39773 without a remainder.

1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 343, 406, 686, 812, 1372, 1421, 2842, 5684, 9947, 19894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39773 and 39788. The biggest common factor number is the GCF number.
So the greatest common factor 39773 and 39788 is 1.

Also check out the Least Common Multiple of 39773 and 39788