What is the Greatest Common Factor of 55392 and 55408?

Greatest common factor (GCF) of 55392 and 55408 is 16.

GCF(55392,55408) = 16

We will now calculate the prime factors of 55392 and 55408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55392 and 55408.

How to find the GCF of 55392 and 55408?

We will first find the prime factorization of 55392 and 55408. After we will calculate the factors of 55392 and 55408 and find the biggest common factor number .

Step-1: Prime Factorization of 55392

Prime factors of 55392 are 2, 3, 577. Prime factorization of 55392 in exponential form is:

55392 = 2⁵ × 3¹ × 577¹

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 55392

List of positive integer factors of 55392 that divides 55392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 577, 1154, 1731, 2308, 3462, 4616, 6924, 9232, 13848, 18464, 27696

Step-4: Factors of 55408

List of positive integer factors of 55408 that divides 55392 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 55392 and 55408. The biggest common factor number is the GCF number.
So the greatest common factor 55392 and 55408 is 16.

Also check out the Least Common Multiple of 55392 and 55408