What is the Greatest Common Factor of 54840 and 54855?

Greatest common factor (GCF) of 54840 and 54855 is 15.

GCF(54840,54855) = 15

We will now calculate the prime factors of 54840 and 54855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54840 and 54855.

How to find the GCF of 54840 and 54855?

We will first find the prime factorization of 54840 and 54855. After we will calculate the factors of 54840 and 54855 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 54855

Prime factors of 54855 are 3, 5, 23, 53. Prime factorization of 54855 in exponential form is:

54855 = 3² × 5¹ × 23¹ × 53¹

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 54855

List of positive integer factors of 54855 that divides 54840 without a remainder.

1, 3, 5, 9, 15, 23, 45, 53, 69, 115, 159, 207, 265, 345, 477, 795, 1035, 1219, 2385, 3657, 6095, 10971, 18285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54840 and 54855. The biggest common factor number is the GCF number.
So the greatest common factor 54840 and 54855 is 15.

Also check out the Least Common Multiple of 54840 and 54855