What is the Greatest Common Factor of 55388 and 55408?

Greatest common factor (GCF) of 55388 and 55408 is 4.

GCF(55388,55408) = 4

We will now calculate the prime factors of 55388 and 55408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55388 and 55408.

How to find the GCF of 55388 and 55408?

We will first find the prime factorization of 55388 and 55408. After we will calculate the factors of 55388 and 55408 and find the biggest common factor number .

Step-1: Prime Factorization of 55388

Prime factors of 55388 are 2, 61, 227. Prime factorization of 55388 in exponential form is:

55388 = 2² × 61¹ × 227¹

Step-2: Prime Factorization of 55408

Prime factors of 55408 are 2, 3463. Prime factorization of 55408 in exponential form is:

55408 = 2⁴ × 3463¹

Step-3: Factors of 55388

List of positive integer factors of 55388 that divides 55388 without a remainder.

1, 2, 4, 61, 122, 227, 244, 454, 908, 13847, 27694

Step-4: Factors of 55408

List of positive integer factors of 55408 that divides 55388 without a remainder.

1, 2, 4, 8, 16, 3463, 6926, 13852, 27704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55388 and 55408. The biggest common factor number is the GCF number.
So the greatest common factor 55388 and 55408 is 4.

Also check out the Least Common Multiple of 55388 and 55408