What is the Greatest Common Factor of 54575 and 54590?

Greatest common factor (GCF) of 54575 and 54590 is 5.

GCF(54575,54590) = 5

We will now calculate the prime factors of 54575 and 54590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54575 and 54590.

How to find the GCF of 54575 and 54590?

We will first find the prime factorization of 54575 and 54590. After we will calculate the factors of 54575 and 54590 and find the biggest common factor number .

Step-1: Prime Factorization of 54575

Prime factors of 54575 are 5, 37, 59. Prime factorization of 54575 in exponential form is:

54575 = 5² × 37¹ × 59¹

Step-2: Prime Factorization of 54590

Prime factors of 54590 are 2, 5, 53, 103. Prime factorization of 54590 in exponential form is:

54590 = 2¹ × 5¹ × 53¹ × 103¹

Step-3: Factors of 54575

List of positive integer factors of 54575 that divides 54575 without a remainder.

1, 5, 25, 37, 59, 185, 295, 925, 1475, 2183, 10915

Step-4: Factors of 54590

List of positive integer factors of 54590 that divides 54575 without a remainder.

1, 2, 5, 10, 53, 103, 106, 206, 265, 515, 530, 1030, 5459, 10918, 27295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54575 and 54590. The biggest common factor number is the GCF number.
So the greatest common factor 54575 and 54590 is 5.

Also check out the Least Common Multiple of 54575 and 54590