What is the Greatest Common Factor of 2782 and 2802?

Greatest common factor (GCF) of 2782 and 2802 is 2.

GCF(2782,2802) = 2

We will now calculate the prime factors of 2782 and 2802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2782 and 2802.

How to find the GCF of 2782 and 2802?

We will first find the prime factorization of 2782 and 2802. After we will calculate the factors of 2782 and 2802 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2802

Prime factors of 2802 are 2, 3, 467. Prime factorization of 2802 in exponential form is:

2802 = 2¹ × 3¹ × 467¹

Step-3: Factors of 2782

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

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

Step-4: Factors of 2802

List of positive integer factors of 2802 that divides 2782 without a remainder.

1, 2, 3, 6, 467, 934, 1401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2782 and 2802. The biggest common factor number is the GCF number.
So the greatest common factor 2782 and 2802 is 2.

Also check out the Least Common Multiple of 2782 and 2802