What is the Greatest Common Factor of 23025 and 23042?

Greatest common factor (GCF) of 23025 and 23042 is 1.

GCF(23025,23042) = 1

We will now calculate the prime factors of 23025 and 23042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23025 and 23042.

How to find the GCF of 23025 and 23042?

We will first find the prime factorization of 23025 and 23042. After we will calculate the factors of 23025 and 23042 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23042

Prime factors of 23042 are 2, 41, 281. Prime factorization of 23042 in exponential form is:

23042 = 2¹ × 41¹ × 281¹

Step-3: Factors of 23025

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

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

Step-4: Factors of 23042

List of positive integer factors of 23042 that divides 23025 without a remainder.

1, 2, 41, 82, 281, 562, 11521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23025 and 23042. The biggest common factor number is the GCF number.
So the greatest common factor 23025 and 23042 is 1.

Also check out the Least Common Multiple of 23025 and 23042