What is the Greatest Common Factor of 31770 and 31790?

Greatest common factor (GCF) of 31770 and 31790 is 10.

GCF(31770,31790) = 10

We will now calculate the prime factors of 31770 and 31790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31770 and 31790.

How to find the GCF of 31770 and 31790?

We will first find the prime factorization of 31770 and 31790. After we will calculate the factors of 31770 and 31790 and find the biggest common factor number .

Step-1: Prime Factorization of 31770

Prime factors of 31770 are 2, 3, 5, 353. Prime factorization of 31770 in exponential form is:

31770 = 2¹ × 3² × 5¹ × 353¹

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 31770

List of positive integer factors of 31770 that divides 31770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 353, 706, 1059, 1765, 2118, 3177, 3530, 5295, 6354, 10590, 15885

Step-4: Factors of 31790

List of positive integer factors of 31790 that divides 31770 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 31770 and 31790. The biggest common factor number is the GCF number.
So the greatest common factor 31770 and 31790 is 10.

Also check out the Least Common Multiple of 31770 and 31790