What is the Greatest Common Factor of 55050 and 55060?

Greatest common factor (GCF) of 55050 and 55060 is 10.

GCF(55050,55060) = 10

We will now calculate the prime factors of 55050 and 55060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55050 and 55060.

How to find the GCF of 55050 and 55060?

We will first find the prime factorization of 55050 and 55060. After we will calculate the factors of 55050 and 55060 and find the biggest common factor number .

Step-1: Prime Factorization of 55050

Prime factors of 55050 are 2, 3, 5, 367. Prime factorization of 55050 in exponential form is:

55050 = 2¹ × 3¹ × 5² × 367¹

Step-2: Prime Factorization of 55060

Prime factors of 55060 are 2, 5, 2753. Prime factorization of 55060 in exponential form is:

55060 = 2² × 5¹ × 2753¹

Step-3: Factors of 55050

List of positive integer factors of 55050 that divides 55050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 367, 734, 1101, 1835, 2202, 3670, 5505, 9175, 11010, 18350, 27525

Step-4: Factors of 55060

List of positive integer factors of 55060 that divides 55050 without a remainder.

1, 2, 4, 5, 10, 20, 2753, 5506, 11012, 13765, 27530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55050 and 55060. The biggest common factor number is the GCF number.
So the greatest common factor 55050 and 55060 is 10.

Also check out the Least Common Multiple of 55050 and 55060