What is the Greatest Common Factor of 39788 and 39795?

Greatest common factor (GCF) of 39788 and 39795 is 7.

GCF(39788,39795) = 7

We will now calculate the prime factors of 39788 and 39795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39788 and 39795.

How to find the GCF of 39788 and 39795?

We will first find the prime factorization of 39788 and 39795. After we will calculate the factors of 39788 and 39795 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39795

Prime factors of 39795 are 3, 5, 7, 379. Prime factorization of 39795 in exponential form is:

39795 = 3¹ × 5¹ × 7¹ × 379¹

Step-3: Factors of 39788

List of positive integer factors of 39788 that divides 39788 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

Step-4: Factors of 39795

List of positive integer factors of 39795 that divides 39788 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 379, 1137, 1895, 2653, 5685, 7959, 13265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39788 and 39795. The biggest common factor number is the GCF number.
So the greatest common factor 39788 and 39795 is 7.

Also check out the Least Common Multiple of 39788 and 39795