What is the Greatest Common Factor of 2869 and 2888?

Greatest common factor (GCF) of 2869 and 2888 is 19.

GCF(2869,2888) = 19

We will now calculate the prime factors of 2869 and 2888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2869 and 2888.

How to find the GCF of 2869 and 2888?

We will first find the prime factorization of 2869 and 2888. After we will calculate the factors of 2869 and 2888 and find the biggest common factor number .

Step-1: Prime Factorization of 2869

Prime factors of 2869 are 19, 151. Prime factorization of 2869 in exponential form is:

2869 = 19¹ × 151¹

Step-2: Prime Factorization of 2888

Prime factors of 2888 are 2, 19. Prime factorization of 2888 in exponential form is:

2888 = 2³ × 19²

Step-3: Factors of 2869

List of positive integer factors of 2869 that divides 2869 without a remainder.

1, 19, 151

Step-4: Factors of 2888

List of positive integer factors of 2888 that divides 2869 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2869 and 2888. The biggest common factor number is the GCF number.
So the greatest common factor 2869 and 2888 is 19.

Also check out the Least Common Multiple of 2869 and 2888