What is the Greatest Common Factor of 55268 and 55280?

Greatest common factor (GCF) of 55268 and 55280 is 4.

GCF(55268,55280) = 4

We will now calculate the prime factors of 55268 and 55280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55268 and 55280.

How to find the GCF of 55268 and 55280?

We will first find the prime factorization of 55268 and 55280. After we will calculate the factors of 55268 and 55280 and find the biggest common factor number .

Step-1: Prime Factorization of 55268

Prime factors of 55268 are 2, 41, 337. Prime factorization of 55268 in exponential form is:

55268 = 2² × 41¹ × 337¹

Step-2: Prime Factorization of 55280

Prime factors of 55280 are 2, 5, 691. Prime factorization of 55280 in exponential form is:

55280 = 2⁴ × 5¹ × 691¹

Step-3: Factors of 55268

List of positive integer factors of 55268 that divides 55268 without a remainder.

1, 2, 4, 41, 82, 164, 337, 674, 1348, 13817, 27634

Step-4: Factors of 55280

List of positive integer factors of 55280 that divides 55268 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 691, 1382, 2764, 3455, 5528, 6910, 11056, 13820, 27640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55268 and 55280. The biggest common factor number is the GCF number.
So the greatest common factor 55268 and 55280 is 4.

Also check out the Least Common Multiple of 55268 and 55280