What is the Greatest Common Factor of 55100 and 55119?

Greatest common factor (GCF) of 55100 and 55119 is 19.

GCF(55100,55119) = 19

We will now calculate the prime factors of 55100 and 55119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55100 and 55119.

How to find the GCF of 55100 and 55119?

We will first find the prime factorization of 55100 and 55119. After we will calculate the factors of 55100 and 55119 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 55119

Prime factors of 55119 are 3, 19, 967. Prime factorization of 55119 in exponential form is:

55119 = 3¹ × 19¹ × 967¹

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 55119

List of positive integer factors of 55119 that divides 55100 without a remainder.

1, 3, 19, 57, 967, 2901, 18373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55100 and 55119. The biggest common factor number is the GCF number.
So the greatest common factor 55100 and 55119 is 19.

Also check out the Least Common Multiple of 55100 and 55119