What is the Greatest Common Factor of 54224 and 54240?

Greatest common factor (GCF) of 54224 and 54240 is 16.

GCF(54224,54240) = 16

We will now calculate the prime factors of 54224 and 54240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54224 and 54240.

How to find the GCF of 54224 and 54240?

We will first find the prime factorization of 54224 and 54240. After we will calculate the factors of 54224 and 54240 and find the biggest common factor number .

Step-1: Prime Factorization of 54224

Prime factors of 54224 are 2, 3389. Prime factorization of 54224 in exponential form is:

54224 = 2⁴ × 3389¹

Step-2: Prime Factorization of 54240

Prime factors of 54240 are 2, 3, 5, 113. Prime factorization of 54240 in exponential form is:

54240 = 2⁵ × 3¹ × 5¹ × 113¹

Step-3: Factors of 54224

List of positive integer factors of 54224 that divides 54224 without a remainder.

1, 2, 4, 8, 16, 3389, 6778, 13556, 27112

Step-4: Factors of 54240

List of positive integer factors of 54240 that divides 54224 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 113, 120, 160, 226, 240, 339, 452, 480, 565, 678, 904, 1130, 1356, 1695, 1808, 2260, 2712, 3390, 3616, 4520, 5424, 6780, 9040, 10848, 13560, 18080, 27120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54224 and 54240. The biggest common factor number is the GCF number.
So the greatest common factor 54224 and 54240 is 16.

Also check out the Least Common Multiple of 54224 and 54240