What is the Greatest Common Factor of 2850 and 2869?

Greatest common factor (GCF) of 2850 and 2869 is 19.

GCF(2850,2869) = 19

We will now calculate the prime factors of 2850 and 2869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2850 and 2869.

How to find the GCF of 2850 and 2869?

We will first find the prime factorization of 2850 and 2869. After we will calculate the factors of 2850 and 2869 and find the biggest common factor number .

Step-1: Prime Factorization of 2850

Prime factors of 2850 are 2, 3, 5, 19. Prime factorization of 2850 in exponential form is:

2850 = 2¹ × 3¹ × 5² × 19¹

Step-2: Prime Factorization of 2869

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

2869 = 19¹ × 151¹

Step-3: Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425

Step-4: Factors of 2869

List of positive integer factors of 2869 that divides 2850 without a remainder.

1, 19, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2850 and 2869. The biggest common factor number is the GCF number.
So the greatest common factor 2850 and 2869 is 19.

Also check out the Least Common Multiple of 2850 and 2869