What is the Greatest Common Factor of 55050 and 55068?

Greatest common factor (GCF) of 55050 and 55068 is 6.

GCF(55050,55068) = 6

We will now calculate the prime factors of 55050 and 55068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55050 and 55068.

How to find the GCF of 55050 and 55068?

We will first find the prime factorization of 55050 and 55068. After we will calculate the factors of 55050 and 55068 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 55068

Prime factors of 55068 are 2, 3, 13, 353. Prime factorization of 55068 in exponential form is:

55068 = 2² × 3¹ × 13¹ × 353¹

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 55068

List of positive integer factors of 55068 that divides 55050 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 353, 706, 1059, 1412, 2118, 4236, 4589, 9178, 13767, 18356, 27534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55050 and 55068. The biggest common factor number is the GCF number.
So the greatest common factor 55050 and 55068 is 6.

Also check out the Least Common Multiple of 55050 and 55068