What is the Greatest Common Factor of 2854 and 2872?

Greatest common factor (GCF) of 2854 and 2872 is 2.

GCF(2854,2872) = 2

We will now calculate the prime factors of 2854 and 2872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2854 and 2872.

How to find the GCF of 2854 and 2872?

We will first find the prime factorization of 2854 and 2872. After we will calculate the factors of 2854 and 2872 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 2872

Prime factors of 2872 are 2, 359. Prime factorization of 2872 in exponential form is:

2872 = 2³ × 359¹

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 2872

List of positive integer factors of 2872 that divides 2854 without a remainder.

1, 2, 4, 8, 359, 718, 1436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2854 and 2872. The biggest common factor number is the GCF number.
So the greatest common factor 2854 and 2872 is 2.

Also check out the Least Common Multiple of 2854 and 2872