What is the Greatest Common Factor of 55085 and 55100?

Greatest common factor (GCF) of 55085 and 55100 is 5.

GCF(55085,55100) = 5

We will now calculate the prime factors of 55085 and 55100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55085 and 55100.

How to find the GCF of 55085 and 55100?

We will first find the prime factorization of 55085 and 55100. After we will calculate the factors of 55085 and 55100 and find the biggest common factor number .

Step-1: Prime Factorization of 55085

Prime factors of 55085 are 5, 23, 479. Prime factorization of 55085 in exponential form is:

55085 = 5¹ × 23¹ × 479¹

Step-2: 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-3: Factors of 55085

List of positive integer factors of 55085 that divides 55085 without a remainder.

1, 5, 23, 115, 479, 2395, 11017

Step-4: Factors of 55100

List of positive integer factors of 55100 that divides 55085 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55085 and 55100. The biggest common factor number is the GCF number.
So the greatest common factor 55085 and 55100 is 5.

Also check out the Least Common Multiple of 55085 and 55100