What is the Greatest Common Factor of 54775 and 54789?

Greatest common factor (GCF) of 54775 and 54789 is 7.

GCF(54775,54789) = 7

We will now calculate the prime factors of 54775 and 54789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54775 and 54789.

How to find the GCF of 54775 and 54789?

We will first find the prime factorization of 54775 and 54789. After we will calculate the factors of 54775 and 54789 and find the biggest common factor number .

Step-1: Prime Factorization of 54775

Prime factors of 54775 are 5, 7, 313. Prime factorization of 54775 in exponential form is:

54775 = 5² × 7¹ × 313¹

Step-2: Prime Factorization of 54789

Prime factors of 54789 are 3, 7, 2609. Prime factorization of 54789 in exponential form is:

54789 = 3¹ × 7¹ × 2609¹

Step-3: Factors of 54775

List of positive integer factors of 54775 that divides 54775 without a remainder.

1, 5, 7, 25, 35, 175, 313, 1565, 2191, 7825, 10955

Step-4: Factors of 54789

List of positive integer factors of 54789 that divides 54775 without a remainder.

1, 3, 7, 21, 2609, 7827, 18263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54775 and 54789. The biggest common factor number is the GCF number.
So the greatest common factor 54775 and 54789 is 7.

Also check out the Least Common Multiple of 54775 and 54789