What is the Greatest Common Factor of 23035 and 23049?

Greatest common factor (GCF) of 23035 and 23049 is 1.

GCF(23035,23049) = 1

We will now calculate the prime factors of 23035 and 23049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23035 and 23049.

How to find the GCF of 23035 and 23049?

We will first find the prime factorization of 23035 and 23049. After we will calculate the factors of 23035 and 23049 and find the biggest common factor number .

Step-1: Prime Factorization of 23035

Prime factors of 23035 are 5, 17, 271. Prime factorization of 23035 in exponential form is:

23035 = 5¹ × 17¹ × 271¹

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 23035

List of positive integer factors of 23035 that divides 23035 without a remainder.

1, 5, 17, 85, 271, 1355, 4607

Step-4: Factors of 23049

List of positive integer factors of 23049 that divides 23035 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 23035 and 23049. The biggest common factor number is the GCF number.
So the greatest common factor 23035 and 23049 is 1.

Also check out the Least Common Multiple of 23035 and 23049