What is the Greatest Common Factor of 55055 and 55066?

Greatest common factor (GCF) of 55055 and 55066 is 11.

GCF(55055,55066) = 11

We will now calculate the prime factors of 55055 and 55066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55055 and 55066.

How to find the GCF of 55055 and 55066?

We will first find the prime factorization of 55055 and 55066. After we will calculate the factors of 55055 and 55066 and find the biggest common factor number .

Step-1: Prime Factorization of 55055

Prime factors of 55055 are 5, 7, 11, 13. Prime factorization of 55055 in exponential form is:

55055 = 5¹ × 7¹ × 11² × 13¹

Step-2: Prime Factorization of 55066

Prime factors of 55066 are 2, 11, 2503. Prime factorization of 55066 in exponential form is:

55066 = 2¹ × 11¹ × 2503¹

Step-3: Factors of 55055

List of positive integer factors of 55055 that divides 55055 without a remainder.

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 121, 143, 385, 455, 605, 715, 847, 1001, 1573, 4235, 5005, 7865, 11011

Step-4: Factors of 55066

List of positive integer factors of 55066 that divides 55055 without a remainder.

1, 2, 11, 22, 2503, 5006, 27533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55055 and 55066. The biggest common factor number is the GCF number.
So the greatest common factor 55055 and 55066 is 11.

Also check out the Least Common Multiple of 55055 and 55066