What is the Greatest Common Factor of 54496 and 54508?

Greatest common factor (GCF) of 54496 and 54508 is 4.

GCF(54496,54508) = 4

We will now calculate the prime factors of 54496 and 54508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54496 and 54508.

How to find the GCF of 54496 and 54508?

We will first find the prime factorization of 54496 and 54508. After we will calculate the factors of 54496 and 54508 and find the biggest common factor number .

Step-1: Prime Factorization of 54496

Prime factors of 54496 are 2, 13, 131. Prime factorization of 54496 in exponential form is:

54496 = 2⁵ × 13¹ × 131¹

Step-2: Prime Factorization of 54508

Prime factors of 54508 are 2, 13627. Prime factorization of 54508 in exponential form is:

54508 = 2² × 13627¹

Step-3: Factors of 54496

List of positive integer factors of 54496 that divides 54496 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 131, 208, 262, 416, 524, 1048, 1703, 2096, 3406, 4192, 6812, 13624, 27248

Step-4: Factors of 54508

List of positive integer factors of 54508 that divides 54496 without a remainder.

1, 2, 4, 13627, 27254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54496 and 54508. The biggest common factor number is the GCF number.
So the greatest common factor 54496 and 54508 is 4.

Also check out the Least Common Multiple of 54496 and 54508