What is the Greatest Common Factor of 2831 and 2850?

Greatest common factor (GCF) of 2831 and 2850 is 19.

GCF(2831,2850) = 19

We will now calculate the prime factors of 2831 and 2850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2831 and 2850.

How to find the GCF of 2831 and 2850?

We will first find the prime factorization of 2831 and 2850. After we will calculate the factors of 2831 and 2850 and find the biggest common factor number .

Step-1: Prime Factorization of 2831

Prime factors of 2831 are 19, 149. Prime factorization of 2831 in exponential form is:

2831 = 19¹ × 149¹

Step-2: 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-3: Factors of 2831

List of positive integer factors of 2831 that divides 2831 without a remainder.

1, 19, 149

Step-4: Factors of 2850

List of positive integer factors of 2850 that divides 2831 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2831 and 2850. The biggest common factor number is the GCF number.
So the greatest common factor 2831 and 2850 is 19.

Also check out the Least Common Multiple of 2831 and 2850