What is the Greatest Common Factor of 54840 and 54860?

Greatest common factor (GCF) of 54840 and 54860 is 20.

GCF(54840,54860) = 20

We will now calculate the prime factors of 54840 and 54860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54840 and 54860.

How to find the GCF of 54840 and 54860?

We will first find the prime factorization of 54840 and 54860. After we will calculate the factors of 54840 and 54860 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 54860

Prime factors of 54860 are 2, 5, 13, 211. Prime factorization of 54860 in exponential form is:

54860 = 2² × 5¹ × 13¹ × 211¹

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 54860

List of positive integer factors of 54860 that divides 54840 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 211, 260, 422, 844, 1055, 2110, 2743, 4220, 5486, 10972, 13715, 27430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54840 and 54860. The biggest common factor number is the GCF number.
So the greatest common factor 54840 and 54860 is 20.

Also check out the Least Common Multiple of 54840 and 54860