What is the Greatest Common Factor of 2812 and 2831?

Greatest common factor (GCF) of 2812 and 2831 is 19.

GCF(2812,2831) = 19

We will now calculate the prime factors of 2812 and 2831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2812 and 2831.

How to find the GCF of 2812 and 2831?

We will first find the prime factorization of 2812 and 2831. After we will calculate the factors of 2812 and 2831 and find the biggest common factor number .

Step-1: Prime Factorization of 2812

Prime factors of 2812 are 2, 19, 37. Prime factorization of 2812 in exponential form is:

2812 = 2² × 19¹ × 37¹

Step-2: Prime Factorization of 2831

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

2831 = 19¹ × 149¹

Step-3: Factors of 2812

List of positive integer factors of 2812 that divides 2812 without a remainder.

1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406

Step-4: Factors of 2831

List of positive integer factors of 2831 that divides 2812 without a remainder.

1, 19, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2812 and 2831. The biggest common factor number is the GCF number.
So the greatest common factor 2812 and 2831 is 19.

Also check out the Least Common Multiple of 2812 and 2831