What is the Greatest Common Factor of 2812 and 2822?

Greatest common factor (GCF) of 2812 and 2822 is 2.

GCF(2812,2822) = 2

We will now calculate the prime factors of 2812 and 2822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2812 and 2822.

How to find the GCF of 2812 and 2822?

We will first find the prime factorization of 2812 and 2822. After we will calculate the factors of 2812 and 2822 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 2822

Prime factors of 2822 are 2, 17, 83. Prime factorization of 2822 in exponential form is:

2822 = 2¹ × 17¹ × 83¹

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 2822

List of positive integer factors of 2822 that divides 2812 without a remainder.

1, 2, 17, 34, 83, 166, 1411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2812 and 2822. The biggest common factor number is the GCF number.
So the greatest common factor 2812 and 2822 is 2.

Also check out the Least Common Multiple of 2812 and 2822