What is the Greatest Common Factor of 38780 and 38791?

Greatest common factor (GCF) of 38780 and 38791 is 1.

GCF(38780,38791) = 1

We will now calculate the prime factors of 38780 and 38791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38780 and 38791.

How to find the GCF of 38780 and 38791?

We will first find the prime factorization of 38780 and 38791. After we will calculate the factors of 38780 and 38791 and find the biggest common factor number .

Step-1: Prime Factorization of 38780

Prime factors of 38780 are 2, 5, 7, 277. Prime factorization of 38780 in exponential form is:

38780 = 2² × 5¹ × 7¹ × 277¹

Step-2: Prime Factorization of 38791

Prime factors of 38791 are 38791. Prime factorization of 38791 in exponential form is:

38791 = 38791¹

Step-3: Factors of 38780

List of positive integer factors of 38780 that divides 38780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 277, 554, 1108, 1385, 1939, 2770, 3878, 5540, 7756, 9695, 19390

Step-4: Factors of 38791

List of positive integer factors of 38791 that divides 38780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38780 and 38791. The biggest common factor number is the GCF number.
So the greatest common factor 38780 and 38791 is 1.

Also check out the Least Common Multiple of 38780 and 38791