What is the Greatest Common Factor of 54113 and 54120?

Greatest common factor (GCF) of 54113 and 54120 is 1.

GCF(54113,54120) = 1

We will now calculate the prime factors of 54113 and 54120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54113 and 54120.

How to find the GCF of 54113 and 54120?

We will first find the prime factorization of 54113 and 54120. After we will calculate the factors of 54113 and 54120 and find the biggest common factor number .

Step-1: Prime Factorization of 54113

Prime factors of 54113 are 53, 1021. Prime factorization of 54113 in exponential form is:

54113 = 53¹ × 1021¹

Step-2: 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-3: Factors of 54113

List of positive integer factors of 54113 that divides 54113 without a remainder.

1, 53, 1021

Step-4: Factors of 54120

List of positive integer factors of 54120 that divides 54113 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54113 and 54120. The biggest common factor number is the GCF number.
So the greatest common factor 54113 and 54120 is 1.

Also check out the Least Common Multiple of 54113 and 54120