What is the Greatest Common Factor of 55080 and 55100?

Greatest common factor (GCF) of 55080 and 55100 is 20.

GCF(55080,55100) = 20

We will now calculate the prime factors of 55080 and 55100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55080 and 55100.

How to find the GCF of 55080 and 55100?

We will first find the prime factorization of 55080 and 55100. After we will calculate the factors of 55080 and 55100 and find the biggest common factor number .

Step-1: Prime Factorization of 55080

Prime factors of 55080 are 2, 3, 5, 17. Prime factorization of 55080 in exponential form is:

55080 = 2³ × 3⁴ × 5¹ × 17¹

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 55080

List of positive integer factors of 55080 that divides 55080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 51, 54, 60, 68, 72, 81, 85, 90, 102, 108, 120, 135, 136, 153, 162, 170, 180, 204, 216, 255, 270, 306, 324, 340, 360, 405, 408, 459, 510, 540, 612, 648, 680, 765, 810, 918, 1020, 1080, 1224, 1377, 1530, 1620, 1836, 2040, 2295, 2754, 3060, 3240, 3672, 4590, 5508, 6120, 6885, 9180, 11016, 13770, 18360, 27540

Step-4: Factors of 55100

List of positive integer factors of 55100 that divides 55080 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 55080 and 55100. The biggest common factor number is the GCF number.
So the greatest common factor 55080 and 55100 is 20.

Also check out the Least Common Multiple of 55080 and 55100