What is the Greatest Common Factor of 5009 and 5025?

Greatest common factor (GCF) of 5009 and 5025 is 1.

GCF(5009,5025) = 1

We will now calculate the prime factors of 5009 and 5025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5009 and 5025.

How to find the GCF of 5009 and 5025?

We will first find the prime factorization of 5009 and 5025. After we will calculate the factors of 5009 and 5025 and find the biggest common factor number .

Step-1: Prime Factorization of 5009

Prime factors of 5009 are 5009. Prime factorization of 5009 in exponential form is:

5009 = 5009¹

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 5009

List of positive integer factors of 5009 that divides 5009 without a remainder.

Step-4: Factors of 5025

List of positive integer factors of 5025 that divides 5009 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 5009 and 5025. The biggest common factor number is the GCF number.
So the greatest common factor 5009 and 5025 is 1.

Also check out the Least Common Multiple of 5009 and 5025