What is the Greatest Common Factor of 1774 and 1790?

Greatest common factor (GCF) of 1774 and 1790 is 2.

GCF(1774,1790) = 2

We will now calculate the prime factors of 1774 and 1790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1774 and 1790.

How to find the GCF of 1774 and 1790?

We will first find the prime factorization of 1774 and 1790. After we will calculate the factors of 1774 and 1790 and find the biggest common factor number .

Step-1: Prime Factorization of 1774

Prime factors of 1774 are 2, 887. Prime factorization of 1774 in exponential form is:

1774 = 2¹ × 887¹

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 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1, 2, 887

Step-4: Factors of 1790

List of positive integer factors of 1790 that divides 1774 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1774 and 1790. The biggest common factor number is the GCF number.
So the greatest common factor 1774 and 1790 is 2.

Also check out the Least Common Multiple of 1774 and 1790