What is the Greatest Common Factor of 54496 and 54509?

Greatest common factor (GCF) of 54496 and 54509 is 13.

GCF(54496,54509) = 13

We will now calculate the prime factors of 54496 and 54509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54496 and 54509.

How to find the GCF of 54496 and 54509?

We will first find the prime factorization of 54496 and 54509. After we will calculate the factors of 54496 and 54509 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 54509

Prime factors of 54509 are 7, 13, 599. Prime factorization of 54509 in exponential form is:

54509 = 7¹ × 13¹ × 599¹

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 54509

List of positive integer factors of 54509 that divides 54496 without a remainder.

1, 7, 13, 91, 599, 4193, 7787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54496 and 54509. The biggest common factor number is the GCF number.
So the greatest common factor 54496 and 54509 is 13.

Also check out the Least Common Multiple of 54496 and 54509