What is the Greatest Common Factor of 2756 and 2774?

Greatest common factor (GCF) of 2756 and 2774 is 2.

GCF(2756,2774) = 2

We will now calculate the prime factors of 2756 and 2774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2756 and 2774.

How to find the GCF of 2756 and 2774?

We will first find the prime factorization of 2756 and 2774. After we will calculate the factors of 2756 and 2774 and find the biggest common factor number .

Step-1: Prime Factorization of 2756

Prime factors of 2756 are 2, 13, 53. Prime factorization of 2756 in exponential form is:

2756 = 2² × 13¹ × 53¹

Step-2: 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-3: Factors of 2756

List of positive integer factors of 2756 that divides 2756 without a remainder.

1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378

Step-4: Factors of 2774

List of positive integer factors of 2774 that divides 2756 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2756 and 2774. The biggest common factor number is the GCF number.
So the greatest common factor 2756 and 2774 is 2.

Also check out the Least Common Multiple of 2756 and 2774