What is the Greatest Common Factor of 54825 and 54838?

Greatest common factor (GCF) of 54825 and 54838 is 1.

GCF(54825,54838) = 1

We will now calculate the prime factors of 54825 and 54838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54825 and 54838.

How to find the GCF of 54825 and 54838?

We will first find the prime factorization of 54825 and 54838. After we will calculate the factors of 54825 and 54838 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 54838

Prime factors of 54838 are 2, 7, 3917. Prime factorization of 54838 in exponential form is:

54838 = 2¹ × 7¹ × 3917¹

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 54838

List of positive integer factors of 54838 that divides 54825 without a remainder.

1, 2, 7, 14, 3917, 7834, 27419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54825 and 54838. The biggest common factor number is the GCF number.
So the greatest common factor 54825 and 54838 is 1.

Also check out the Least Common Multiple of 54825 and 54838