What is the Greatest Common Factor of 54496 and 54500?

Greatest common factor (GCF) of 54496 and 54500 is 4.

GCF(54496,54500) = 4

We will now calculate the prime factors of 54496 and 54500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54496 and 54500.

How to find the GCF of 54496 and 54500?

We will first find the prime factorization of 54496 and 54500. After we will calculate the factors of 54496 and 54500 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 54500

Prime factors of 54500 are 2, 5, 109. Prime factorization of 54500 in exponential form is:

54500 = 2² × 5³ × 109¹

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 54500

List of positive integer factors of 54500 that divides 54496 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 109, 125, 218, 250, 436, 500, 545, 1090, 2180, 2725, 5450, 10900, 13625, 27250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54496 and 54500. The biggest common factor number is the GCF number.
So the greatest common factor 54496 and 54500 is 4.

Also check out the Least Common Multiple of 54496 and 54500