What is the Greatest Common Factor of 55260 and 55278?

Greatest common factor (GCF) of 55260 and 55278 is 18.

GCF(55260,55278) = 18

We will now calculate the prime factors of 55260 and 55278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55260 and 55278.

How to find the GCF of 55260 and 55278?

We will first find the prime factorization of 55260 and 55278. After we will calculate the factors of 55260 and 55278 and find the biggest common factor number .

Step-1: Prime Factorization of 55260

Prime factors of 55260 are 2, 3, 5, 307. Prime factorization of 55260 in exponential form is:

55260 = 2² × 3² × 5¹ × 307¹

Step-2: Prime Factorization of 55278

Prime factors of 55278 are 2, 3, 37, 83. Prime factorization of 55278 in exponential form is:

55278 = 2¹ × 3² × 37¹ × 83¹

Step-3: Factors of 55260

List of positive integer factors of 55260 that divides 55260 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 307, 614, 921, 1228, 1535, 1842, 2763, 3070, 3684, 4605, 5526, 6140, 9210, 11052, 13815, 18420, 27630

Step-4: Factors of 55278

List of positive integer factors of 55278 that divides 55260 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 83, 111, 166, 222, 249, 333, 498, 666, 747, 1494, 3071, 6142, 9213, 18426, 27639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55260 and 55278. The biggest common factor number is the GCF number.
So the greatest common factor 55260 and 55278 is 18.

Also check out the Least Common Multiple of 55260 and 55278