What is the Greatest Common Factor of 31779 and 31790?

Greatest common factor (GCF) of 31779 and 31790 is 11.

GCF(31779,31790) = 11

We will now calculate the prime factors of 31779 and 31790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31779 and 31790.

How to find the GCF of 31779 and 31790?

We will first find the prime factorization of 31779 and 31790. After we will calculate the factors of 31779 and 31790 and find the biggest common factor number .

Step-1: Prime Factorization of 31779

Prime factors of 31779 are 3, 11, 107. Prime factorization of 31779 in exponential form is:

31779 = 3³ × 11¹ × 107¹

Step-2: Prime Factorization of 31790

Prime factors of 31790 are 2, 5, 11, 17. Prime factorization of 31790 in exponential form is:

31790 = 2¹ × 5¹ × 11¹ × 17²

Step-3: Factors of 31779

List of positive integer factors of 31779 that divides 31779 without a remainder.

1, 3, 9, 11, 27, 33, 99, 107, 297, 321, 963, 1177, 2889, 3531, 10593

Step-4: Factors of 31790

List of positive integer factors of 31790 that divides 31779 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 289, 374, 578, 935, 1445, 1870, 2890, 3179, 6358, 15895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31779 and 31790. The biggest common factor number is the GCF number.
So the greatest common factor 31779 and 31790 is 11.

Also check out the Least Common Multiple of 31779 and 31790