What is the Greatest Common Factor of 31780 and 31799?

Greatest common factor (GCF) of 31780 and 31799 is 1.

GCF(31780,31799) = 1

We will now calculate the prime factors of 31780 and 31799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31780 and 31799.

How to find the GCF of 31780 and 31799?

We will first find the prime factorization of 31780 and 31799. After we will calculate the factors of 31780 and 31799 and find the biggest common factor number .

Step-1: Prime Factorization of 31780

Prime factors of 31780 are 2, 5, 7, 227. Prime factorization of 31780 in exponential form is:

31780 = 2² × 5¹ × 7¹ × 227¹

Step-2: Prime Factorization of 31799

Prime factors of 31799 are 31799. Prime factorization of 31799 in exponential form is:

31799 = 31799¹

Step-3: Factors of 31780

List of positive integer factors of 31780 that divides 31780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 227, 454, 908, 1135, 1589, 2270, 3178, 4540, 6356, 7945, 15890

Step-4: Factors of 31799

List of positive integer factors of 31799 that divides 31780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31780 and 31799. The biggest common factor number is the GCF number.
So the greatest common factor 31780 and 31799 is 1.

Also check out the Least Common Multiple of 31780 and 31799