What is the Greatest Common Factor of 55080 and 55084?

Greatest common factor (GCF) of 55080 and 55084 is 4.

GCF(55080,55084) = 4

We will now calculate the prime factors of 55080 and 55084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55080 and 55084.

How to find the GCF of 55080 and 55084?

We will first find the prime factorization of 55080 and 55084. After we will calculate the factors of 55080 and 55084 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 55084

Prime factors of 55084 are 2, 47, 293. Prime factorization of 55084 in exponential form is:

55084 = 2² × 47¹ × 293¹

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 55084

List of positive integer factors of 55084 that divides 55080 without a remainder.

1, 2, 4, 47, 94, 188, 293, 586, 1172, 13771, 27542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55080 and 55084. The biggest common factor number is the GCF number.
So the greatest common factor 55080 and 55084 is 4.

Also check out the Least Common Multiple of 55080 and 55084