What is the Greatest Common Factor of 55100 and 55110?

Greatest common factor (GCF) of 55100 and 55110 is 10.

GCF(55100,55110) = 10

We will now calculate the prime factors of 55100 and 55110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55100 and 55110.

How to find the GCF of 55100 and 55110?

We will first find the prime factorization of 55100 and 55110. After we will calculate the factors of 55100 and 55110 and find the biggest common factor number .

Step-1: Prime Factorization of 55100

Prime factors of 55100 are 2, 5, 19, 29. Prime factorization of 55100 in exponential form is:

55100 = 2² × 5² × 19¹ × 29¹

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 55100

List of positive integer factors of 55100 that divides 55100 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 29, 38, 50, 58, 76, 95, 100, 116, 145, 190, 290, 380, 475, 551, 580, 725, 950, 1102, 1450, 1900, 2204, 2755, 2900, 5510, 11020, 13775, 27550

Step-4: Factors of 55110

List of positive integer factors of 55110 that divides 55100 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 55100 and 55110. The biggest common factor number is the GCF number.
So the greatest common factor 55100 and 55110 is 10.

Also check out the Least Common Multiple of 55100 and 55110