What is the Greatest Common Factor of 2804 and 2812?

Greatest common factor (GCF) of 2804 and 2812 is 4.

GCF(2804,2812) = 4

We will now calculate the prime factors of 2804 and 2812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2804 and 2812.

How to find the GCF of 2804 and 2812?

We will first find the prime factorization of 2804 and 2812. After we will calculate the factors of 2804 and 2812 and find the biggest common factor number .

Step-1: Prime Factorization of 2804

Prime factors of 2804 are 2, 701. Prime factorization of 2804 in exponential form is:

2804 = 2² × 701¹

Step-2: 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-3: Factors of 2804

List of positive integer factors of 2804 that divides 2804 without a remainder.

1, 2, 4, 701, 1402

Step-4: Factors of 2812

List of positive integer factors of 2812 that divides 2804 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2804 and 2812. The biggest common factor number is the GCF number.
So the greatest common factor 2804 and 2812 is 4.

Also check out the Least Common Multiple of 2804 and 2812