What is the Greatest Common Factor of 55600 and 55605?

Greatest common factor (GCF) of 55600 and 55605 is 5.

GCF(55600,55605) = 5

We will now calculate the prime factors of 55600 and 55605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55600 and 55605.

How to find the GCF of 55600 and 55605?

We will first find the prime factorization of 55600 and 55605. After we will calculate the factors of 55600 and 55605 and find the biggest common factor number .

Step-1: Prime Factorization of 55600

Prime factors of 55600 are 2, 5, 139. Prime factorization of 55600 in exponential form is:

55600 = 2⁴ × 5² × 139¹

Step-2: Prime Factorization of 55605

Prime factors of 55605 are 3, 5, 11, 337. Prime factorization of 55605 in exponential form is:

55605 = 3¹ × 5¹ × 11¹ × 337¹

Step-3: Factors of 55600

List of positive integer factors of 55600 that divides 55600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 139, 200, 278, 400, 556, 695, 1112, 1390, 2224, 2780, 3475, 5560, 6950, 11120, 13900, 27800

Step-4: Factors of 55605

List of positive integer factors of 55605 that divides 55600 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 337, 1011, 1685, 3707, 5055, 11121, 18535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55600 and 55605. The biggest common factor number is the GCF number.
So the greatest common factor 55600 and 55605 is 5.

Also check out the Least Common Multiple of 55600 and 55605