What is the Greatest Common Factor of 23049 and 23053?

Greatest common factor (GCF) of 23049 and 23053 is 1.

GCF(23049,23053) = 1

We will now calculate the prime factors of 23049 and 23053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23049 and 23053.

How to find the GCF of 23049 and 23053?

We will first find the prime factorization of 23049 and 23053. After we will calculate the factors of 23049 and 23053 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 23053

Prime factors of 23053 are 23053. Prime factorization of 23053 in exponential form is:

23053 = 23053¹

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 23053

List of positive integer factors of 23053 that divides 23049 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23049 and 23053. The biggest common factor number is the GCF number.
So the greatest common factor 23049 and 23053 is 1.

Also check out the Least Common Multiple of 23049 and 23053