What is the Greatest Common Factor of 25009 and 25025?

Greatest common factor (GCF) of 25009 and 25025 is 1.

GCF(25009,25025) = 1

We will now calculate the prime factors of 25009 and 25025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25009 and 25025.

How to find the GCF of 25009 and 25025?

We will first find the prime factorization of 25009 and 25025. After we will calculate the factors of 25009 and 25025 and find the biggest common factor number .

Step-1: Prime Factorization of 25009

Prime factors of 25009 are 89, 281. Prime factorization of 25009 in exponential form is:

25009 = 89¹ × 281¹

Step-2: Prime Factorization of 25025

Prime factors of 25025 are 5, 7, 11, 13. Prime factorization of 25025 in exponential form is:

25025 = 5² × 7¹ × 11¹ × 13¹

Step-3: Factors of 25009

List of positive integer factors of 25009 that divides 25009 without a remainder.

1, 89, 281

Step-4: Factors of 25025

List of positive integer factors of 25025 that divides 25009 without a remainder.

1, 5, 7, 11, 13, 25, 35, 55, 65, 77, 91, 143, 175, 275, 325, 385, 455, 715, 1001, 1925, 2275, 3575, 5005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25009 and 25025. The biggest common factor number is the GCF number.
So the greatest common factor 25009 and 25025 is 1.

Also check out the Least Common Multiple of 25009 and 25025