What is the Greatest Common Factor of 54544 and 54550?

Greatest common factor (GCF) of 54544 and 54550 is 2.

GCF(54544,54550) = 2

We will now calculate the prime factors of 54544 and 54550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54544 and 54550.

How to find the GCF of 54544 and 54550?

We will first find the prime factorization of 54544 and 54550. After we will calculate the factors of 54544 and 54550 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 54550

Prime factors of 54550 are 2, 5, 1091. Prime factorization of 54550 in exponential form is:

54550 = 2¹ × 5² × 1091¹

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 54550

List of positive integer factors of 54550 that divides 54544 without a remainder.

1, 2, 5, 10, 25, 50, 1091, 2182, 5455, 10910, 27275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54544 and 54550. The biggest common factor number is the GCF number.
So the greatest common factor 54544 and 54550 is 2.

Also check out the Least Common Multiple of 54544 and 54550