What is the Greatest Common Factor of 23049 and 23062?

Greatest common factor (GCF) of 23049 and 23062 is 13.

GCF(23049,23062) = 13

We will now calculate the prime factors of 23049 and 23062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23049 and 23062.

How to find the GCF of 23049 and 23062?

We will first find the prime factorization of 23049 and 23062. After we will calculate the factors of 23049 and 23062 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 23062

Prime factors of 23062 are 2, 13, 887. Prime factorization of 23062 in exponential form is:

23062 = 2¹ × 13¹ × 887¹

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 23062

List of positive integer factors of 23062 that divides 23049 without a remainder.

1, 2, 13, 26, 887, 1774, 11531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23049 and 23062. The biggest common factor number is the GCF number.
So the greatest common factor 23049 and 23062 is 13.

Also check out the Least Common Multiple of 23049 and 23062