What is the Greatest Common Factor of 55080 and 55097?

Greatest common factor (GCF) of 55080 and 55097 is 17.

GCF(55080,55097) = 17

We will now calculate the prime factors of 55080 and 55097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55080 and 55097.

How to find the GCF of 55080 and 55097?

We will first find the prime factorization of 55080 and 55097. After we will calculate the factors of 55080 and 55097 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 55097

Prime factors of 55097 are 7, 17, 463. Prime factorization of 55097 in exponential form is:

55097 = 7¹ × 17¹ × 463¹

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 55097

List of positive integer factors of 55097 that divides 55080 without a remainder.

1, 7, 17, 119, 463, 3241, 7871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55080 and 55097. The biggest common factor number is the GCF number.
So the greatest common factor 55080 and 55097 is 17.

Also check out the Least Common Multiple of 55080 and 55097