What is the Greatest Common Factor of 2774 and 2789?

Greatest common factor (GCF) of 2774 and 2789 is 1.

GCF(2774,2789) = 1

We will now calculate the prime factors of 2774 and 2789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2774 and 2789.

How to find the GCF of 2774 and 2789?

We will first find the prime factorization of 2774 and 2789. After we will calculate the factors of 2774 and 2789 and find the biggest common factor number .

Step-1: Prime Factorization of 2774

Prime factors of 2774 are 2, 19, 73. Prime factorization of 2774 in exponential form is:

2774 = 2¹ × 19¹ × 73¹

Step-2: Prime Factorization of 2789

Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:

2789 = 2789¹

Step-3: Factors of 2774

List of positive integer factors of 2774 that divides 2774 without a remainder.

1, 2, 19, 38, 73, 146, 1387

Step-4: Factors of 2789

List of positive integer factors of 2789 that divides 2774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2774 and 2789. The biggest common factor number is the GCF number.
So the greatest common factor 2774 and 2789 is 1.

Also check out the Least Common Multiple of 2774 and 2789