What is the Greatest Common Factor of 54944 and 54959?

Greatest common factor (GCF) of 54944 and 54959 is 1.

GCF(54944,54959) = 1

We will now calculate the prime factors of 54944 and 54959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54944 and 54959.

How to find the GCF of 54944 and 54959?

We will first find the prime factorization of 54944 and 54959. After we will calculate the factors of 54944 and 54959 and find the biggest common factor number .

Step-1: Prime Factorization of 54944

Prime factors of 54944 are 2, 17, 101. Prime factorization of 54944 in exponential form is:

54944 = 2⁵ × 17¹ × 101¹

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 54944

List of positive integer factors of 54944 that divides 54944 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 101, 136, 202, 272, 404, 544, 808, 1616, 1717, 3232, 3434, 6868, 13736, 27472

Step-4: Factors of 54959

List of positive integer factors of 54959 that divides 54944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54944 and 54959. The biggest common factor number is the GCF number.
So the greatest common factor 54944 and 54959 is 1.

Also check out the Least Common Multiple of 54944 and 54959