What is the Greatest Common Factor of 2780 and 2784?

Greatest common factor (GCF) of 2780 and 2784 is 4.

GCF(2780,2784) = 4

We will now calculate the prime factors of 2780 and 2784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2780 and 2784.

How to find the GCF of 2780 and 2784?

We will first find the prime factorization of 2780 and 2784. After we will calculate the factors of 2780 and 2784 and find the biggest common factor number .

Step-1: Prime Factorization of 2780

Prime factors of 2780 are 2, 5, 139. Prime factorization of 2780 in exponential form is:

2780 = 2² × 5¹ × 139¹

Step-2: Prime Factorization of 2784

Prime factors of 2784 are 2, 3, 29. Prime factorization of 2784 in exponential form is:

2784 = 2⁵ × 3¹ × 29¹

Step-3: Factors of 2780

List of positive integer factors of 2780 that divides 2780 without a remainder.

1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390

Step-4: Factors of 2784

List of positive integer factors of 2784 that divides 2780 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2780 and 2784. The biggest common factor number is the GCF number.
So the greatest common factor 2780 and 2784 is 4.

Also check out the Least Common Multiple of 2780 and 2784