What is the Greatest Common Factor of 1774 and 1783?

Greatest common factor (GCF) of 1774 and 1783 is 1.

GCF(1774,1783) = 1

We will now calculate the prime factors of 1774 and 1783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1774 and 1783.

How to find the GCF of 1774 and 1783?

We will first find the prime factorization of 1774 and 1783. After we will calculate the factors of 1774 and 1783 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 1783

Prime factors of 1783 are 1783. Prime factorization of 1783 in exponential form is:

1783 = 1783¹

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 1783

List of positive integer factors of 1783 that divides 1774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1774 and 1783. The biggest common factor number is the GCF number.
So the greatest common factor 1774 and 1783 is 1.

Also check out the Least Common Multiple of 1774 and 1783