What is the Greatest Common Factor of 2854 and 2864?

Greatest common factor (GCF) of 2854 and 2864 is 2.

GCF(2854,2864) = 2

We will now calculate the prime factors of 2854 and 2864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2854 and 2864.

How to find the GCF of 2854 and 2864?

We will first find the prime factorization of 2854 and 2864. After we will calculate the factors of 2854 and 2864 and find the biggest common factor number .

Step-1: Prime Factorization of 2854

Prime factors of 2854 are 2, 1427. Prime factorization of 2854 in exponential form is:

2854 = 2¹ × 1427¹

Step-2: Prime Factorization of 2864

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

2864 = 2⁴ × 179¹

Step-3: Factors of 2854

List of positive integer factors of 2854 that divides 2854 without a remainder.

1, 2, 1427

Step-4: Factors of 2864

List of positive integer factors of 2864 that divides 2854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2854 and 2864. The biggest common factor number is the GCF number.
So the greatest common factor 2854 and 2864 is 2.

Also check out the Least Common Multiple of 2854 and 2864