What is the Greatest Common Factor of 55065 and 55080?

Greatest common factor (GCF) of 55065 and 55080 is 15.

GCF(55065,55080) = 15

We will now calculate the prime factors of 55065 and 55080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55065 and 55080.

How to find the GCF of 55065 and 55080?

We will first find the prime factorization of 55065 and 55080. After we will calculate the factors of 55065 and 55080 and find the biggest common factor number .

Step-1: Prime Factorization of 55065

Prime factors of 55065 are 3, 5, 3671. Prime factorization of 55065 in exponential form is:

55065 = 3¹ × 5¹ × 3671¹

Step-2: 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-3: Factors of 55065

List of positive integer factors of 55065 that divides 55065 without a remainder.

1, 3, 5, 15, 3671, 11013, 18355

Step-4: Factors of 55080

List of positive integer factors of 55080 that divides 55065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55065 and 55080. The biggest common factor number is the GCF number.
So the greatest common factor 55065 and 55080 is 15.

Also check out the Least Common Multiple of 55065 and 55080