What is the Greatest Common Factor of 23025 and 23032?

Greatest common factor (GCF) of 23025 and 23032 is 1.

GCF(23025,23032) = 1

We will now calculate the prime factors of 23025 and 23032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23025 and 23032.

How to find the GCF of 23025 and 23032?

We will first find the prime factorization of 23025 and 23032. After we will calculate the factors of 23025 and 23032 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 23032

Prime factors of 23032 are 2, 2879. Prime factorization of 23032 in exponential form is:

23032 = 2³ × 2879¹

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 23032

List of positive integer factors of 23032 that divides 23025 without a remainder.

1, 2, 4, 8, 2879, 5758, 11516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23025 and 23032. The biggest common factor number is the GCF number.
So the greatest common factor 23025 and 23032 is 1.

Also check out the Least Common Multiple of 23025 and 23032