What is the Greatest Common Factor of 54120 and 54131?

Greatest common factor (GCF) of 54120 and 54131 is 11.

GCF(54120,54131) = 11

We will now calculate the prime factors of 54120 and 54131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54120 and 54131.

How to find the GCF of 54120 and 54131?

We will first find the prime factorization of 54120 and 54131. After we will calculate the factors of 54120 and 54131 and find the biggest common factor number .

Step-1: Prime Factorization of 54120

Prime factors of 54120 are 2, 3, 5, 11, 41. Prime factorization of 54120 in exponential form is:

54120 = 2³ × 3¹ × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 54131

Prime factors of 54131 are 7, 11, 19, 37. Prime factorization of 54131 in exponential form is:

54131 = 7¹ × 11¹ × 19¹ × 37¹

Step-3: Factors of 54120

List of positive integer factors of 54120 that divides 54120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 41, 44, 55, 60, 66, 82, 88, 110, 120, 123, 132, 164, 165, 205, 220, 246, 264, 328, 330, 410, 440, 451, 492, 615, 660, 820, 902, 984, 1230, 1320, 1353, 1640, 1804, 2255, 2460, 2706, 3608, 4510, 4920, 5412, 6765, 9020, 10824, 13530, 18040, 27060

Step-4: Factors of 54131

List of positive integer factors of 54131 that divides 54120 without a remainder.

1, 7, 11, 19, 37, 77, 133, 209, 259, 407, 703, 1463, 2849, 4921, 7733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54120 and 54131. The biggest common factor number is the GCF number.
So the greatest common factor 54120 and 54131 is 11.

Also check out the Least Common Multiple of 54120 and 54131