What is the Greatest Common Factor of 54540 and 54560?

Greatest common factor (GCF) of 54540 and 54560 is 20.

GCF(54540,54560) = 20

We will now calculate the prime factors of 54540 and 54560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54540 and 54560.

How to find the GCF of 54540 and 54560?

We will first find the prime factorization of 54540 and 54560. After we will calculate the factors of 54540 and 54560 and find the biggest common factor number .

Step-1: Prime Factorization of 54540

Prime factors of 54540 are 2, 3, 5, 101. Prime factorization of 54540 in exponential form is:

54540 = 2² × 3³ × 5¹ × 101¹

Step-2: Prime Factorization of 54560

Prime factors of 54560 are 2, 5, 11, 31. Prime factorization of 54560 in exponential form is:

54560 = 2⁵ × 5¹ × 11¹ × 31¹

Step-3: Factors of 54540

List of positive integer factors of 54540 that divides 54540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 101, 108, 135, 180, 202, 270, 303, 404, 505, 540, 606, 909, 1010, 1212, 1515, 1818, 2020, 2727, 3030, 3636, 4545, 5454, 6060, 9090, 10908, 13635, 18180, 27270

Step-4: Factors of 54560

List of positive integer factors of 54560 that divides 54540 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 32, 40, 44, 55, 62, 80, 88, 110, 124, 155, 160, 176, 220, 248, 310, 341, 352, 440, 496, 620, 682, 880, 992, 1240, 1364, 1705, 1760, 2480, 2728, 3410, 4960, 5456, 6820, 10912, 13640, 27280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54540 and 54560. The biggest common factor number is the GCF number.
So the greatest common factor 54540 and 54560 is 20.

Also check out the Least Common Multiple of 54540 and 54560