What is the Greatest Common Factor of 1770 and 1790?

Greatest common factor (GCF) of 1770 and 1790 is 10.

GCF(1770,1790) = 10

We will now calculate the prime factors of 1770 and 1790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1770 and 1790.

How to find the GCF of 1770 and 1790?

We will first find the prime factorization of 1770 and 1790. After we will calculate the factors of 1770 and 1790 and find the biggest common factor number .

Step-1: Prime Factorization of 1770

Prime factors of 1770 are 2, 3, 5, 59. Prime factorization of 1770 in exponential form is:

1770 = 2¹ × 3¹ × 5¹ × 59¹

Step-2: Prime Factorization of 1790

Prime factors of 1790 are 2, 5, 179. Prime factorization of 1790 in exponential form is:

1790 = 2¹ × 5¹ × 179¹

Step-3: Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885

Step-4: Factors of 1790

List of positive integer factors of 1790 that divides 1770 without a remainder.

1, 2, 5, 10, 179, 358, 895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1770 and 1790. The biggest common factor number is the GCF number.
So the greatest common factor 1770 and 1790 is 10.

Also check out the Least Common Multiple of 1770 and 1790