What is the Greatest Common Factor of 2774 and 2786?

Greatest common factor (GCF) of 2774 and 2786 is 2.

GCF(2774,2786) = 2

We will now calculate the prime factors of 2774 and 2786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2774 and 2786.

How to find the GCF of 2774 and 2786?

We will first find the prime factorization of 2774 and 2786. After we will calculate the factors of 2774 and 2786 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 2786

Prime factors of 2786 are 2, 7, 199. Prime factorization of 2786 in exponential form is:

2786 = 2¹ × 7¹ × 199¹

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 2786

List of positive integer factors of 2786 that divides 2774 without a remainder.

1, 2, 7, 14, 199, 398, 1393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2774 and 2786. The biggest common factor number is the GCF number.
So the greatest common factor 2774 and 2786 is 2.

Also check out the Least Common Multiple of 2774 and 2786