What is the Greatest Common Factor of 55790 and 55804?

Greatest common factor (GCF) of 55790 and 55804 is 14.

GCF(55790,55804) = 14

We will now calculate the prime factors of 55790 and 55804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55790 and 55804.

How to find the GCF of 55790 and 55804?

We will first find the prime factorization of 55790 and 55804. After we will calculate the factors of 55790 and 55804 and find the biggest common factor number .

Step-1: Prime Factorization of 55790

Prime factors of 55790 are 2, 5, 7, 797. Prime factorization of 55790 in exponential form is:

55790 = 2¹ × 5¹ × 7¹ × 797¹

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 55790

List of positive integer factors of 55790 that divides 55790 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 797, 1594, 3985, 5579, 7970, 11158, 27895

Step-4: Factors of 55804

List of positive integer factors of 55804 that divides 55790 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 55790 and 55804. The biggest common factor number is the GCF number.
So the greatest common factor 55790 and 55804 is 14.

Also check out the Least Common Multiple of 55790 and 55804