What is the Greatest Common Factor of 54605 and 54623?

Greatest common factor (GCF) of 54605 and 54623 is 1.

GCF(54605,54623) = 1

We will now calculate the prime factors of 54605 and 54623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54605 and 54623.

How to find the GCF of 54605 and 54623?

We will first find the prime factorization of 54605 and 54623. After we will calculate the factors of 54605 and 54623 and find the biggest common factor number .

Step-1: Prime Factorization of 54605

Prime factors of 54605 are 5, 67, 163. Prime factorization of 54605 in exponential form is:

54605 = 5¹ × 67¹ × 163¹

Step-2: Prime Factorization of 54623

Prime factors of 54623 are 54623. Prime factorization of 54623 in exponential form is:

54623 = 54623¹

Step-3: Factors of 54605

List of positive integer factors of 54605 that divides 54605 without a remainder.

1, 5, 67, 163, 335, 815, 10921

Step-4: Factors of 54623

List of positive integer factors of 54623 that divides 54605 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54605 and 54623. The biggest common factor number is the GCF number.
So the greatest common factor 54605 and 54623 is 1.

Also check out the Least Common Multiple of 54605 and 54623