What is the Greatest Common Factor of 54805 and 54825?

Greatest common factor (GCF) of 54805 and 54825 is 5.

GCF(54805,54825) = 5

We will now calculate the prime factors of 54805 and 54825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54805 and 54825.

How to find the GCF of 54805 and 54825?

We will first find the prime factorization of 54805 and 54825. After we will calculate the factors of 54805 and 54825 and find the biggest common factor number .

Step-1: Prime Factorization of 54805

Prime factors of 54805 are 5, 97, 113. Prime factorization of 54805 in exponential form is:

54805 = 5¹ × 97¹ × 113¹

Step-2: Prime Factorization of 54825

Prime factors of 54825 are 3, 5, 17, 43. Prime factorization of 54825 in exponential form is:

54825 = 3¹ × 5² × 17¹ × 43¹

Step-3: Factors of 54805

List of positive integer factors of 54805 that divides 54805 without a remainder.

1, 5, 97, 113, 485, 565, 10961

Step-4: Factors of 54825

List of positive integer factors of 54825 that divides 54805 without a remainder.

1, 3, 5, 15, 17, 25, 43, 51, 75, 85, 129, 215, 255, 425, 645, 731, 1075, 1275, 2193, 3225, 3655, 10965, 18275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54805 and 54825. The biggest common factor number is the GCF number.
So the greatest common factor 54805 and 54825 is 5.

Also check out the Least Common Multiple of 54805 and 54825