What is the Greatest Common Factor of 54005 and 54025?

Greatest common factor (GCF) of 54005 and 54025 is 5.

GCF(54005,54025) = 5

We will now calculate the prime factors of 54005 and 54025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54005 and 54025.

How to find the GCF of 54005 and 54025?

We will first find the prime factorization of 54005 and 54025. After we will calculate the factors of 54005 and 54025 and find the biggest common factor number .

Step-1: Prime Factorization of 54005

Prime factors of 54005 are 5, 7, 1543. Prime factorization of 54005 in exponential form is:

54005 = 5¹ × 7¹ × 1543¹

Step-2: Prime Factorization of 54025

Prime factors of 54025 are 5, 2161. Prime factorization of 54025 in exponential form is:

54025 = 5² × 2161¹

Step-3: Factors of 54005

List of positive integer factors of 54005 that divides 54005 without a remainder.

1, 5, 7, 35, 1543, 7715, 10801

Step-4: Factors of 54025

List of positive integer factors of 54025 that divides 54005 without a remainder.

1, 5, 25, 2161, 10805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54005 and 54025. The biggest common factor number is the GCF number.
So the greatest common factor 54005 and 54025 is 5.

Also check out the Least Common Multiple of 54005 and 54025