What is the Greatest Common Factor of 54825 and 54839?

Greatest common factor (GCF) of 54825 and 54839 is 1.

GCF(54825,54839) = 1

We will now calculate the prime factors of 54825 and 54839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54825 and 54839.

How to find the GCF of 54825 and 54839?

We will first find the prime factorization of 54825 and 54839. After we will calculate the factors of 54825 and 54839 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54839

Prime factors of 54839 are 29, 31, 61. Prime factorization of 54839 in exponential form is:

54839 = 29¹ × 31¹ × 61¹

Step-3: Factors of 54825

List of positive integer factors of 54825 that divides 54825 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

Step-4: Factors of 54839

List of positive integer factors of 54839 that divides 54825 without a remainder.

1, 29, 31, 61, 899, 1769, 1891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54825 and 54839. The biggest common factor number is the GCF number.
So the greatest common factor 54825 and 54839 is 1.

Also check out the Least Common Multiple of 54825 and 54839