What is the Greatest Common Factor of 54060 and 54065?

Greatest common factor (GCF) of 54060 and 54065 is 5.

GCF(54060,54065) = 5

We will now calculate the prime factors of 54060 and 54065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54060 and 54065.

How to find the GCF of 54060 and 54065?

We will first find the prime factorization of 54060 and 54065. After we will calculate the factors of 54060 and 54065 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 54065

Prime factors of 54065 are 5, 11, 983. Prime factorization of 54065 in exponential form is:

54065 = 5¹ × 11¹ × 983¹

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 54065

List of positive integer factors of 54065 that divides 54060 without a remainder.

1, 5, 11, 55, 983, 4915, 10813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54060 and 54065. The biggest common factor number is the GCF number.
So the greatest common factor 54060 and 54065 is 5.

Also check out the Least Common Multiple of 54060 and 54065