What is the Greatest Common Factor of 31794 and 31810?

Greatest common factor (GCF) of 31794 and 31810 is 2.

GCF(31794,31810) = 2

We will now calculate the prime factors of 31794 and 31810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31794 and 31810.

How to find the GCF of 31794 and 31810?

We will first find the prime factorization of 31794 and 31810. After we will calculate the factors of 31794 and 31810 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31810

Prime factors of 31810 are 2, 5, 3181. Prime factorization of 31810 in exponential form is:

31810 = 2¹ × 5¹ × 3181¹

Step-3: Factors of 31794

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

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

Step-4: Factors of 31810

List of positive integer factors of 31810 that divides 31794 without a remainder.

1, 2, 5, 10, 3181, 6362, 15905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31794 and 31810. The biggest common factor number is the GCF number.
So the greatest common factor 31794 and 31810 is 2.

Also check out the Least Common Multiple of 31794 and 31810