What is the Greatest Common Factor of 56804 and 56809?

Greatest common factor (GCF) of 56804 and 56809 is 1.

GCF(56804,56809) = 1

We will now calculate the prime factors of 56804 and 56809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56804 and 56809.

How to find the GCF of 56804 and 56809?

We will first find the prime factorization of 56804 and 56809. After we will calculate the factors of 56804 and 56809 and find the biggest common factor number .

Step-1: Prime Factorization of 56804

Prime factors of 56804 are 2, 11, 1291. Prime factorization of 56804 in exponential form is:

56804 = 2² × 11¹ × 1291¹

Step-2: Prime Factorization of 56809

Prime factors of 56809 are 56809. Prime factorization of 56809 in exponential form is:

56809 = 56809¹

Step-3: Factors of 56804

List of positive integer factors of 56804 that divides 56804 without a remainder.

1, 2, 4, 11, 22, 44, 1291, 2582, 5164, 14201, 28402

Step-4: Factors of 56809

List of positive integer factors of 56809 that divides 56804 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56804 and 56809. The biggest common factor number is the GCF number.
So the greatest common factor 56804 and 56809 is 1.

Also check out the Least Common Multiple of 56804 and 56809