What is the Greatest Common Factor of 55785 and 55804?

Greatest common factor (GCF) of 55785 and 55804 is 1.

GCF(55785,55804) = 1

We will now calculate the prime factors of 55785 and 55804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55785 and 55804.

How to find the GCF of 55785 and 55804?

We will first find the prime factorization of 55785 and 55804. After we will calculate the factors of 55785 and 55804 and find the biggest common factor number .

Step-1: Prime Factorization of 55785

Prime factors of 55785 are 3, 5, 3719. Prime factorization of 55785 in exponential form is:

55785 = 3¹ × 5¹ × 3719¹

Step-2: Prime Factorization of 55804

Prime factors of 55804 are 2, 7, 1993. Prime factorization of 55804 in exponential form is:

55804 = 2² × 7¹ × 1993¹

Step-3: Factors of 55785

List of positive integer factors of 55785 that divides 55785 without a remainder.

1, 3, 5, 15, 3719, 11157, 18595

Step-4: Factors of 55804

List of positive integer factors of 55804 that divides 55785 without a remainder.

1, 2, 4, 7, 14, 28, 1993, 3986, 7972, 13951, 27902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55785 and 55804. The biggest common factor number is the GCF number.
So the greatest common factor 55785 and 55804 is 1.

Also check out the Least Common Multiple of 55785 and 55804