What is the Greatest Common Factor of 23025 and 23037?

Greatest common factor (GCF) of 23025 and 23037 is 3.

GCF(23025,23037) = 3

We will now calculate the prime factors of 23025 and 23037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23025 and 23037.

How to find the GCF of 23025 and 23037?

We will first find the prime factorization of 23025 and 23037. After we will calculate the factors of 23025 and 23037 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 23037

Prime factors of 23037 are 3, 7, 1097. Prime factorization of 23037 in exponential form is:

23037 = 3¹ × 7¹ × 1097¹

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 23037

List of positive integer factors of 23037 that divides 23025 without a remainder.

1, 3, 7, 21, 1097, 3291, 7679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23025 and 23037. The biggest common factor number is the GCF number.
So the greatest common factor 23025 and 23037 is 3.

Also check out the Least Common Multiple of 23025 and 23037