What is the Greatest Common Factor of 52005 and 52025?

Greatest common factor (GCF) of 52005 and 52025 is 5.

GCF(52005,52025) = 5

We will now calculate the prime factors of 52005 and 52025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52005 and 52025.

How to find the GCF of 52005 and 52025?

We will first find the prime factorization of 52005 and 52025. After we will calculate the factors of 52005 and 52025 and find the biggest common factor number .

Step-1: Prime Factorization of 52005

Prime factors of 52005 are 3, 5, 3467. Prime factorization of 52005 in exponential form is:

52005 = 3¹ × 5¹ × 3467¹

Step-2: Prime Factorization of 52025

Prime factors of 52025 are 5, 2081. Prime factorization of 52025 in exponential form is:

52025 = 5² × 2081¹

Step-3: Factors of 52005

List of positive integer factors of 52005 that divides 52005 without a remainder.

1, 3, 5, 15, 3467, 10401, 17335

Step-4: Factors of 52025

List of positive integer factors of 52025 that divides 52005 without a remainder.

1, 5, 25, 2081, 10405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52005 and 52025. The biggest common factor number is the GCF number.
So the greatest common factor 52005 and 52025 is 5.

Also check out the Least Common Multiple of 52005 and 52025