What is the Greatest Common Factor of 31780 and 31794?

Greatest common factor (GCF) of 31780 and 31794 is 14.

GCF(31780,31794) = 14

We will now calculate the prime factors of 31780 and 31794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31780 and 31794.

How to find the GCF of 31780 and 31794?

We will first find the prime factorization of 31780 and 31794. After we will calculate the factors of 31780 and 31794 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 31794

Prime factors of 31794 are 2, 3, 7, 757. Prime factorization of 31794 in exponential form is:

31794 = 2¹ × 3¹ × 7¹ × 757¹

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 31794

List of positive integer factors of 31794 that divides 31780 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 757, 1514, 2271, 4542, 5299, 10598, 15897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31780 and 31794. The biggest common factor number is the GCF number.
So the greatest common factor 31780 and 31794 is 14.

Also check out the Least Common Multiple of 31780 and 31794