What is the Greatest Common Factor of 54048 and 54064?

Greatest common factor (GCF) of 54048 and 54064 is 16.

GCF(54048,54064) = 16

We will now calculate the prime factors of 54048 and 54064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54048 and 54064.

How to find the GCF of 54048 and 54064?

We will first find the prime factorization of 54048 and 54064. After we will calculate the factors of 54048 and 54064 and find the biggest common factor number .

Step-1: Prime Factorization of 54048

Prime factors of 54048 are 2, 3, 563. Prime factorization of 54048 in exponential form is:

54048 = 2⁵ × 3¹ × 563¹

Step-2: Prime Factorization of 54064

Prime factors of 54064 are 2, 31, 109. Prime factorization of 54064 in exponential form is:

54064 = 2⁴ × 31¹ × 109¹

Step-3: Factors of 54048

List of positive integer factors of 54048 that divides 54048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 18016, 27024

Step-4: Factors of 54064

List of positive integer factors of 54064 that divides 54048 without a remainder.

1, 2, 4, 8, 16, 31, 62, 109, 124, 218, 248, 436, 496, 872, 1744, 3379, 6758, 13516, 27032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54048 and 54064. The biggest common factor number is the GCF number.
So the greatest common factor 54048 and 54064 is 16.

Also check out the Least Common Multiple of 54048 and 54064