What is the Greatest Common Factor of 54840 and 54844?

Greatest common factor (GCF) of 54840 and 54844 is 4.

GCF(54840,54844) = 4

We will now calculate the prime factors of 54840 and 54844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54840 and 54844.

How to find the GCF of 54840 and 54844?

We will first find the prime factorization of 54840 and 54844. After we will calculate the factors of 54840 and 54844 and find the biggest common factor number .

Step-1: Prime Factorization of 54840

Prime factors of 54840 are 2, 3, 5, 457. Prime factorization of 54840 in exponential form is:

54840 = 2³ × 3¹ × 5¹ × 457¹

Step-2: Prime Factorization of 54844

Prime factors of 54844 are 2, 13711. Prime factorization of 54844 in exponential form is:

54844 = 2² × 13711¹

Step-3: Factors of 54840

List of positive integer factors of 54840 that divides 54840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 457, 914, 1371, 1828, 2285, 2742, 3656, 4570, 5484, 6855, 9140, 10968, 13710, 18280, 27420

Step-4: Factors of 54844

List of positive integer factors of 54844 that divides 54840 without a remainder.

1, 2, 4, 13711, 27422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54840 and 54844. The biggest common factor number is the GCF number.
So the greatest common factor 54840 and 54844 is 4.

Also check out the Least Common Multiple of 54840 and 54844