What is the Greatest Common Factor of 2769 and 2782?

Greatest common factor (GCF) of 2769 and 2782 is 13.

GCF(2769,2782) = 13

We will now calculate the prime factors of 2769 and 2782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2769 and 2782.

How to find the GCF of 2769 and 2782?

We will first find the prime factorization of 2769 and 2782. After we will calculate the factors of 2769 and 2782 and find the biggest common factor number .

Step-1: Prime Factorization of 2769

Prime factors of 2769 are 3, 13, 71. Prime factorization of 2769 in exponential form is:

2769 = 3¹ × 13¹ × 71¹

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 2769

List of positive integer factors of 2769 that divides 2769 without a remainder.

1, 3, 13, 39, 71, 213, 923

Step-4: Factors of 2782

List of positive integer factors of 2782 that divides 2769 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2769 and 2782. The biggest common factor number is the GCF number.
So the greatest common factor 2769 and 2782 is 13.

Also check out the Least Common Multiple of 2769 and 2782