What is the Greatest Common Factor of 55099 and 55110?

Greatest common factor (GCF) of 55099 and 55110 is 11.

GCF(55099,55110) = 11

We will now calculate the prime factors of 55099 and 55110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55099 and 55110.

How to find the GCF of 55099 and 55110?

We will first find the prime factorization of 55099 and 55110. After we will calculate the factors of 55099 and 55110 and find the biggest common factor number .

Step-1: Prime Factorization of 55099

Prime factors of 55099 are 11, 5009. Prime factorization of 55099 in exponential form is:

55099 = 11¹ × 5009¹

Step-2: Prime Factorization of 55110

Prime factors of 55110 are 2, 3, 5, 11, 167. Prime factorization of 55110 in exponential form is:

55110 = 2¹ × 3¹ × 5¹ × 11¹ × 167¹

Step-3: Factors of 55099

List of positive integer factors of 55099 that divides 55099 without a remainder.

1, 11, 5009

Step-4: Factors of 55110

List of positive integer factors of 55110 that divides 55099 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 167, 330, 334, 501, 835, 1002, 1670, 1837, 2505, 3674, 5010, 5511, 9185, 11022, 18370, 27555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55099 and 55110. The biggest common factor number is the GCF number.
So the greatest common factor 55099 and 55110 is 11.

Also check out the Least Common Multiple of 55099 and 55110