What is the Greatest Common Factor of 2764 and 2782?

Greatest common factor (GCF) of 2764 and 2782 is 2.

GCF(2764,2782) = 2

We will now calculate the prime factors of 2764 and 2782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2764 and 2782.

How to find the GCF of 2764 and 2782?

We will first find the prime factorization of 2764 and 2782. After we will calculate the factors of 2764 and 2782 and find the biggest common factor number .

Step-1: Prime Factorization of 2764

Prime factors of 2764 are 2, 691. Prime factorization of 2764 in exponential form is:

2764 = 2² × 691¹

Step-2: Prime Factorization of 2782

Prime factors of 2782 are 2, 13, 107. Prime factorization of 2782 in exponential form is:

2782 = 2¹ × 13¹ × 107¹

Step-3: Factors of 2764

List of positive integer factors of 2764 that divides 2764 without a remainder.

1, 2, 4, 691, 1382

Step-4: Factors of 2782

List of positive integer factors of 2782 that divides 2764 without a remainder.

1, 2, 13, 26, 107, 214, 1391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2764 and 2782. The biggest common factor number is the GCF number.
So the greatest common factor 2764 and 2782 is 2.

Also check out the Least Common Multiple of 2764 and 2782