What is the Greatest Common Factor of 31794 and 31809?

Greatest common factor (GCF) of 31794 and 31809 is 3.

GCF(31794,31809) = 3

We will now calculate the prime factors of 31794 and 31809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31794 and 31809.

How to find the GCF of 31794 and 31809?

We will first find the prime factorization of 31794 and 31809. After we will calculate the factors of 31794 and 31809 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 31809

Prime factors of 31809 are 3, 23, 461. Prime factorization of 31809 in exponential form is:

31809 = 3¹ × 23¹ × 461¹

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 31809

List of positive integer factors of 31809 that divides 31794 without a remainder.

1, 3, 23, 69, 461, 1383, 10603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31794 and 31809. The biggest common factor number is the GCF number.
So the greatest common factor 31794 and 31809 is 3.

Also check out the Least Common Multiple of 31794 and 31809