What is the Greatest Common Factor of 23049 and 23065?

Greatest common factor (GCF) of 23049 and 23065 is 1.

GCF(23049,23065) = 1

We will now calculate the prime factors of 23049 and 23065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23049 and 23065.

How to find the GCF of 23049 and 23065?

We will first find the prime factorization of 23049 and 23065. After we will calculate the factors of 23049 and 23065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23065

Prime factors of 23065 are 5, 7, 659. Prime factorization of 23065 in exponential form is:

23065 = 5¹ × 7¹ × 659¹

Step-3: Factors of 23049

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

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

Step-4: Factors of 23065

List of positive integer factors of 23065 that divides 23049 without a remainder.

1, 5, 7, 35, 659, 3295, 4613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23049 and 23065. The biggest common factor number is the GCF number.
So the greatest common factor 23049 and 23065 is 1.

Also check out the Least Common Multiple of 23049 and 23065