What is the Greatest Common Factor of 23037 and 23049?

Greatest common factor (GCF) of 23037 and 23049 is 3.

GCF(23037,23049) = 3

We will now calculate the prime factors of 23037 and 23049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23037 and 23049.

How to find the GCF of 23037 and 23049?

We will first find the prime factorization of 23037 and 23049. After we will calculate the factors of 23037 and 23049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23049

Prime factors of 23049 are 3, 13, 197. Prime factorization of 23049 in exponential form is:

23049 = 3² × 13¹ × 197¹

Step-3: Factors of 23037

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

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

Step-4: Factors of 23049

List of positive integer factors of 23049 that divides 23037 without a remainder.

1, 3, 9, 13, 39, 117, 197, 591, 1773, 2561, 7683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23037 and 23049. The biggest common factor number is the GCF number.
So the greatest common factor 23037 and 23049 is 3.

Also check out the Least Common Multiple of 23037 and 23049