What is the Greatest Common Factor of 25009 and 25029?

Greatest common factor (GCF) of 25009 and 25029 is 1.

GCF(25009,25029) = 1

We will now calculate the prime factors of 25009 and 25029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25009 and 25029.

How to find the GCF of 25009 and 25029?

We will first find the prime factorization of 25009 and 25029. After we will calculate the factors of 25009 and 25029 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 25029

Prime factors of 25029 are 3, 103. Prime factorization of 25029 in exponential form is:

25029 = 3⁵ × 103¹

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 25029

List of positive integer factors of 25029 that divides 25009 without a remainder.

1, 3, 9, 27, 81, 103, 243, 309, 927, 2781, 8343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25009 and 25029. The biggest common factor number is the GCF number.
So the greatest common factor 25009 and 25029 is 1.

Also check out the Least Common Multiple of 25009 and 25029