What is the Greatest Common Factor of 17770 and 17790?

Greatest common factor (GCF) of 17770 and 17790 is 10.

GCF(17770,17790) = 10

We will now calculate the prime factors of 17770 and 17790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17770 and 17790.

How to find the GCF of 17770 and 17790?

We will first find the prime factorization of 17770 and 17790. After we will calculate the factors of 17770 and 17790 and find the biggest common factor number .

Step-1: Prime Factorization of 17770

Prime factors of 17770 are 2, 5, 1777. Prime factorization of 17770 in exponential form is:

17770 = 2¹ × 5¹ × 1777¹

Step-2: Prime Factorization of 17790

Prime factors of 17790 are 2, 3, 5, 593. Prime factorization of 17790 in exponential form is:

17790 = 2¹ × 3¹ × 5¹ × 593¹

Step-3: Factors of 17770

List of positive integer factors of 17770 that divides 17770 without a remainder.

1, 2, 5, 10, 1777, 3554, 8885

Step-4: Factors of 17790

List of positive integer factors of 17790 that divides 17770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 593, 1186, 1779, 2965, 3558, 5930, 8895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17770 and 17790. The biggest common factor number is the GCF number.
So the greatest common factor 17770 and 17790 is 10.

Also check out the Least Common Multiple of 17770 and 17790