What is the Greatest Common Factor of 54060 and 54069?

Greatest common factor (GCF) of 54060 and 54069 is 3.

GCF(54060,54069) = 3

We will now calculate the prime factors of 54060 and 54069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54060 and 54069.

How to find the GCF of 54060 and 54069?

We will first find the prime factorization of 54060 and 54069. After we will calculate the factors of 54060 and 54069 and find the biggest common factor number .

Step-1: Prime Factorization of 54060

Prime factors of 54060 are 2, 3, 5, 17, 53. Prime factorization of 54060 in exponential form is:

54060 = 2² × 3¹ × 5¹ × 17¹ × 53¹

Step-2: Prime Factorization of 54069

Prime factors of 54069 are 3, 67, 269. Prime factorization of 54069 in exponential form is:

54069 = 3¹ × 67¹ × 269¹

Step-3: Factors of 54060

List of positive integer factors of 54060 that divides 54060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 53, 60, 68, 85, 102, 106, 159, 170, 204, 212, 255, 265, 318, 340, 510, 530, 636, 795, 901, 1020, 1060, 1590, 1802, 2703, 3180, 3604, 4505, 5406, 9010, 10812, 13515, 18020, 27030

Step-4: Factors of 54069

List of positive integer factors of 54069 that divides 54060 without a remainder.

1, 3, 67, 201, 269, 807, 18023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54060 and 54069. The biggest common factor number is the GCF number.
So the greatest common factor 54060 and 54069 is 3.

Also check out the Least Common Multiple of 54060 and 54069