What is the Greatest Common Factor of 2864 and 2881?

Greatest common factor (GCF) of 2864 and 2881 is 1.

GCF(2864,2881) = 1

We will now calculate the prime factors of 2864 and 2881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2864 and 2881.

How to find the GCF of 2864 and 2881?

We will first find the prime factorization of 2864 and 2881. After we will calculate the factors of 2864 and 2881 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 2881

Prime factors of 2881 are 43, 67. Prime factorization of 2881 in exponential form is:

2881 = 43¹ × 67¹

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 2881

List of positive integer factors of 2881 that divides 2864 without a remainder.

1, 43, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2864 and 2881. The biggest common factor number is the GCF number.
So the greatest common factor 2864 and 2881 is 1.

Also check out the Least Common Multiple of 2864 and 2881