What is the Greatest Common Factor of 54650 and 54655?

Greatest common factor (GCF) of 54650 and 54655 is 5.

GCF(54650,54655) = 5

We will now calculate the prime factors of 54650 and 54655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54650 and 54655.

How to find the GCF of 54650 and 54655?

We will first find the prime factorization of 54650 and 54655. After we will calculate the factors of 54650 and 54655 and find the biggest common factor number .

Step-1: Prime Factorization of 54650

Prime factors of 54650 are 2, 5, 1093. Prime factorization of 54650 in exponential form is:

54650 = 2¹ × 5² × 1093¹

Step-2: Prime Factorization of 54655

Prime factors of 54655 are 5, 17, 643. Prime factorization of 54655 in exponential form is:

54655 = 5¹ × 17¹ × 643¹

Step-3: Factors of 54650

List of positive integer factors of 54650 that divides 54650 without a remainder.

1, 2, 5, 10, 25, 50, 1093, 2186, 5465, 10930, 27325

Step-4: Factors of 54655

List of positive integer factors of 54655 that divides 54650 without a remainder.

1, 5, 17, 85, 643, 3215, 10931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54650 and 54655. The biggest common factor number is the GCF number.
So the greatest common factor 54650 and 54655 is 5.

Also check out the Least Common Multiple of 54650 and 54655