What is the Greatest Common Factor of 2864 and 2873?

Greatest common factor (GCF) of 2864 and 2873 is 1.

GCF(2864,2873) = 1

We will now calculate the prime factors of 2864 and 2873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2864 and 2873.

How to find the GCF of 2864 and 2873?

We will first find the prime factorization of 2864 and 2873. After we will calculate the factors of 2864 and 2873 and find the biggest common factor number .

Step-1: Prime Factorization of 2864

Prime factors of 2864 are 2, 179. Prime factorization of 2864 in exponential form is:

2864 = 2⁴ × 179¹

Step-2: Prime Factorization of 2873

Prime factors of 2873 are 13, 17. Prime factorization of 2873 in exponential form is:

2873 = 13² × 17¹

Step-3: Factors of 2864

List of positive integer factors of 2864 that divides 2864 without a remainder.

1, 2, 4, 8, 16, 179, 358, 716, 1432

Step-4: Factors of 2873

List of positive integer factors of 2873 that divides 2864 without a remainder.

1, 13, 17, 169, 221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2864 and 2873. The biggest common factor number is the GCF number.
So the greatest common factor 2864 and 2873 is 1.

Also check out the Least Common Multiple of 2864 and 2873