What is the Greatest Common Factor of 54544 and 54558?

Greatest common factor (GCF) of 54544 and 54558 is 14.

GCF(54544,54558) = 14

We will now calculate the prime factors of 54544 and 54558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54544 and 54558.

How to find the GCF of 54544 and 54558?

We will first find the prime factorization of 54544 and 54558. After we will calculate the factors of 54544 and 54558 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 54558

Prime factors of 54558 are 2, 3, 7, 433. Prime factorization of 54558 in exponential form is:

54558 = 2¹ × 3² × 7¹ × 433¹

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 54558

List of positive integer factors of 54558 that divides 54544 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 433, 866, 1299, 2598, 3031, 3897, 6062, 7794, 9093, 18186, 27279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54544 and 54558. The biggest common factor number is the GCF number.
So the greatest common factor 54544 and 54558 is 14.

Also check out the Least Common Multiple of 54544 and 54558