What is the Greatest Common Factor of 5005 and 5025?

Greatest common factor (GCF) of 5005 and 5025 is 5.

GCF(5005,5025) = 5

We will now calculate the prime factors of 5005 and 5025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5005 and 5025.

How to find the GCF of 5005 and 5025?

We will first find the prime factorization of 5005 and 5025. After we will calculate the factors of 5005 and 5025 and find the biggest common factor number .

Step-1: Prime Factorization of 5005

Prime factors of 5005 are 5, 7, 11, 13. Prime factorization of 5005 in exponential form is:

5005 = 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 5025

Prime factors of 5025 are 3, 5, 67. Prime factorization of 5025 in exponential form is:

5025 = 3¹ × 5² × 67¹

Step-3: Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001

Step-4: Factors of 5025

List of positive integer factors of 5025 that divides 5005 without a remainder.

1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5005 and 5025. The biggest common factor number is the GCF number.
So the greatest common factor 5005 and 5025 is 5.

Also check out the Least Common Multiple of 5005 and 5025