What is the Greatest Common Factor of 23029 and 23049?

Greatest common factor (GCF) of 23029 and 23049 is 1.

GCF(23029,23049) = 1

We will now calculate the prime factors of 23029 and 23049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23029 and 23049.

How to find the GCF of 23029 and 23049?

We will first find the prime factorization of 23029 and 23049. After we will calculate the factors of 23029 and 23049 and find the biggest common factor number .

Step-1: Prime Factorization of 23029

Prime factors of 23029 are 23029. Prime factorization of 23029 in exponential form is:

23029 = 23029¹

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 23029

List of positive integer factors of 23029 that divides 23029 without a remainder.

Step-4: Factors of 23049

List of positive integer factors of 23049 that divides 23029 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 23029 and 23049. The biggest common factor number is the GCF number.
So the greatest common factor 23029 and 23049 is 1.

Also check out the Least Common Multiple of 23029 and 23049