What is the Greatest Common Factor of 2805 and 2812?

Greatest common factor (GCF) of 2805 and 2812 is 1.

GCF(2805,2812) = 1

We will now calculate the prime factors of 2805 and 2812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2805 and 2812.

How to find the GCF of 2805 and 2812?

We will first find the prime factorization of 2805 and 2812. After we will calculate the factors of 2805 and 2812 and find the biggest common factor number .

Step-1: Prime Factorization of 2805

Prime factors of 2805 are 3, 5, 11, 17. Prime factorization of 2805 in exponential form is:

2805 = 3¹ × 5¹ × 11¹ × 17¹

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 2805

List of positive integer factors of 2805 that divides 2805 without a remainder.

1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935

Step-4: Factors of 2812

List of positive integer factors of 2812 that divides 2805 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 2805 and 2812. The biggest common factor number is the GCF number.
So the greatest common factor 2805 and 2812 is 1.

Also check out the Least Common Multiple of 2805 and 2812