What is the Greatest Common Factor of 54945 and 54959?

Greatest common factor (GCF) of 54945 and 54959 is 1.

GCF(54945,54959) = 1

We will now calculate the prime factors of 54945 and 54959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54945 and 54959.

How to find the GCF of 54945 and 54959?

We will first find the prime factorization of 54945 and 54959. After we will calculate the factors of 54945 and 54959 and find the biggest common factor number .

Step-1: Prime Factorization of 54945

Prime factors of 54945 are 3, 5, 11, 37. Prime factorization of 54945 in exponential form is:

54945 = 3³ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 54959

Prime factors of 54959 are 54959. Prime factorization of 54959 in exponential form is:

54959 = 54959¹

Step-3: Factors of 54945

List of positive integer factors of 54945 that divides 54945 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 37, 45, 55, 99, 111, 135, 165, 185, 297, 333, 407, 495, 555, 999, 1221, 1485, 1665, 2035, 3663, 4995, 6105, 10989, 18315

Step-4: Factors of 54959

List of positive integer factors of 54959 that divides 54945 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54945 and 54959. The biggest common factor number is the GCF number.
So the greatest common factor 54945 and 54959 is 1.

Also check out the Least Common Multiple of 54945 and 54959