What is the Greatest Common Factor of 55100 and 55115?

Greatest common factor (GCF) of 55100 and 55115 is 5.

GCF(55100,55115) = 5

We will now calculate the prime factors of 55100 and 55115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55100 and 55115.

How to find the GCF of 55100 and 55115?

We will first find the prime factorization of 55100 and 55115. After we will calculate the factors of 55100 and 55115 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 55115

Prime factors of 55115 are 5, 73, 151. Prime factorization of 55115 in exponential form is:

55115 = 5¹ × 73¹ × 151¹

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 55115

List of positive integer factors of 55115 that divides 55100 without a remainder.

1, 5, 73, 151, 365, 755, 11023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55100 and 55115. The biggest common factor number is the GCF number.
So the greatest common factor 55100 and 55115 is 5.

Also check out the Least Common Multiple of 55100 and 55115