What is the Greatest Common Factor of 2774 and 2794?

Greatest common factor (GCF) of 2774 and 2794 is 2.

GCF(2774,2794) = 2

We will now calculate the prime factors of 2774 and 2794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2774 and 2794.

How to find the GCF of 2774 and 2794?

We will first find the prime factorization of 2774 and 2794. After we will calculate the factors of 2774 and 2794 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 2794

Prime factors of 2794 are 2, 11, 127. Prime factorization of 2794 in exponential form is:

2794 = 2¹ × 11¹ × 127¹

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 2794

List of positive integer factors of 2794 that divides 2774 without a remainder.

1, 2, 11, 22, 127, 254, 1397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2774 and 2794. The biggest common factor number is the GCF number.
So the greatest common factor 2774 and 2794 is 2.

Also check out the Least Common Multiple of 2774 and 2794