What is the Greatest Common Factor of 1770 and 1774?

Greatest common factor (GCF) of 1770 and 1774 is 2.

GCF(1770,1774) = 2

We will now calculate the prime factors of 1770 and 1774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1770 and 1774.

How to find the GCF of 1770 and 1774?

We will first find the prime factorization of 1770 and 1774. After we will calculate the factors of 1770 and 1774 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 1774

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

1774 = 2¹ × 887¹

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 1774

List of positive integer factors of 1774 that divides 1770 without a remainder.

1, 2, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1770 and 1774. The biggest common factor number is the GCF number.
So the greatest common factor 1770 and 1774 is 2.

Also check out the Least Common Multiple of 1770 and 1774