What is the Greatest Common Factor of 54570 and 54585?

Greatest common factor (GCF) of 54570 and 54585 is 15.

GCF(54570,54585) = 15

We will now calculate the prime factors of 54570 and 54585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54570 and 54585.

How to find the GCF of 54570 and 54585?

We will first find the prime factorization of 54570 and 54585. After we will calculate the factors of 54570 and 54585 and find the biggest common factor number .

Step-1: Prime Factorization of 54570

Prime factors of 54570 are 2, 3, 5, 17, 107. Prime factorization of 54570 in exponential form is:

54570 = 2¹ × 3¹ × 5¹ × 17¹ × 107¹

Step-2: Prime Factorization of 54585

Prime factors of 54585 are 3, 5, 1213. Prime factorization of 54585 in exponential form is:

54585 = 3² × 5¹ × 1213¹

Step-3: Factors of 54570

List of positive integer factors of 54570 that divides 54570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 107, 170, 214, 255, 321, 510, 535, 642, 1070, 1605, 1819, 3210, 3638, 5457, 9095, 10914, 18190, 27285

Step-4: Factors of 54585

List of positive integer factors of 54585 that divides 54570 without a remainder.

1, 3, 5, 9, 15, 45, 1213, 3639, 6065, 10917, 18195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54570 and 54585. The biggest common factor number is the GCF number.
So the greatest common factor 54570 and 54585 is 15.

Also check out the Least Common Multiple of 54570 and 54585