What is the Greatest Common Factor of 54544 and 54560?

Greatest common factor (GCF) of 54544 and 54560 is 16.

GCF(54544,54560) = 16

We will now calculate the prime factors of 54544 and 54560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54544 and 54560.

How to find the GCF of 54544 and 54560?

We will first find the prime factorization of 54544 and 54560. After we will calculate the factors of 54544 and 54560 and find the biggest common factor number .

Step-1: Prime Factorization of 54544

Prime factors of 54544 are 2, 7, 487. Prime factorization of 54544 in exponential form is:

54544 = 2⁴ × 7¹ × 487¹

Step-2: Prime Factorization of 54560

Prime factors of 54560 are 2, 5, 11, 31. Prime factorization of 54560 in exponential form is:

54560 = 2⁵ × 5¹ × 11¹ × 31¹

Step-3: Factors of 54544

List of positive integer factors of 54544 that divides 54544 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 487, 974, 1948, 3409, 3896, 6818, 7792, 13636, 27272

Step-4: Factors of 54560

List of positive integer factors of 54560 that divides 54544 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 32, 40, 44, 55, 62, 80, 88, 110, 124, 155, 160, 176, 220, 248, 310, 341, 352, 440, 496, 620, 682, 880, 992, 1240, 1364, 1705, 1760, 2480, 2728, 3410, 4960, 5456, 6820, 10912, 13640, 27280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54544 and 54560. The biggest common factor number is the GCF number.
So the greatest common factor 54544 and 54560 is 16.

Also check out the Least Common Multiple of 54544 and 54560