What is the Greatest Common Factor of 2784 and 2803?

Greatest common factor (GCF) of 2784 and 2803 is 1.

GCF(2784,2803) = 1

We will now calculate the prime factors of 2784 and 2803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2784 and 2803.

How to find the GCF of 2784 and 2803?

We will first find the prime factorization of 2784 and 2803. After we will calculate the factors of 2784 and 2803 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2803

Prime factors of 2803 are 2803. Prime factorization of 2803 in exponential form is:

2803 = 2803¹

Step-3: Factors of 2784

List of positive integer factors of 2784 that divides 2784 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

Step-4: Factors of 2803

List of positive integer factors of 2803 that divides 2784 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2784 and 2803. The biggest common factor number is the GCF number.
So the greatest common factor 2784 and 2803 is 1.

Also check out the Least Common Multiple of 2784 and 2803