What is the Greatest Common Factor of 54060 and 54072?

Greatest common factor (GCF) of 54060 and 54072 is 12.

GCF(54060,54072) = 12

We will now calculate the prime factors of 54060 and 54072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54060 and 54072.

How to find the GCF of 54060 and 54072?

We will first find the prime factorization of 54060 and 54072. After we will calculate the factors of 54060 and 54072 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 54072

Prime factors of 54072 are 2, 3, 751. Prime factorization of 54072 in exponential form is:

54072 = 2³ × 3² × 751¹

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 54072

List of positive integer factors of 54072 that divides 54060 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 751, 1502, 2253, 3004, 4506, 6008, 6759, 9012, 13518, 18024, 27036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54060 and 54072. The biggest common factor number is the GCF number.
So the greatest common factor 54060 and 54072 is 12.

Also check out the Least Common Multiple of 54060 and 54072