What is the Greatest Common Factor of 23006 and 23025?

Greatest common factor (GCF) of 23006 and 23025 is 1.

GCF(23006,23025) = 1

We will now calculate the prime factors of 23006 and 23025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23006 and 23025.

How to find the GCF of 23006 and 23025?

We will first find the prime factorization of 23006 and 23025. After we will calculate the factors of 23006 and 23025 and find the biggest common factor number .

Step-1: Prime Factorization of 23006

Prime factors of 23006 are 2, 11503. Prime factorization of 23006 in exponential form is:

23006 = 2¹ × 11503¹

Step-2: Prime Factorization of 23025

Prime factors of 23025 are 3, 5, 307. Prime factorization of 23025 in exponential form is:

23025 = 3¹ × 5² × 307¹

Step-3: Factors of 23006

List of positive integer factors of 23006 that divides 23006 without a remainder.

1, 2, 11503

Step-4: Factors of 23025

List of positive integer factors of 23025 that divides 23006 without a remainder.

1, 3, 5, 15, 25, 75, 307, 921, 1535, 4605, 7675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23006 and 23025. The biggest common factor number is the GCF number.
So the greatest common factor 23006 and 23025 is 1.

Also check out the Least Common Multiple of 23006 and 23025