What is the Greatest Common Factor of 23025 and 23033?

Greatest common factor (GCF) of 23025 and 23033 is 1.

GCF(23025,23033) = 1

We will now calculate the prime factors of 23025 and 23033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23025 and 23033.

How to find the GCF of 23025 and 23033?

We will first find the prime factorization of 23025 and 23033. After we will calculate the factors of 23025 and 23033 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 23033

Prime factors of 23033 are 31, 743. Prime factorization of 23033 in exponential form is:

23033 = 31¹ × 743¹

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 23033

List of positive integer factors of 23033 that divides 23025 without a remainder.

1, 31, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23025 and 23033. The biggest common factor number is the GCF number.
So the greatest common factor 23025 and 23033 is 1.

Also check out the Least Common Multiple of 23025 and 23033