What is the Greatest Common Factor of 6032 and 6049?

Greatest common factor (GCF) of 6032 and 6049 is 1.

GCF(6032,6049) = 1

We will now calculate the prime factors of 6032 and 6049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6032 and 6049.

How to find the GCF of 6032 and 6049?

We will first find the prime factorization of 6032 and 6049. After we will calculate the factors of 6032 and 6049 and find the biggest common factor number .

Step-1: Prime Factorization of 6032

Prime factors of 6032 are 2, 13, 29. Prime factorization of 6032 in exponential form is:

6032 = 2⁴ × 13¹ × 29¹

Step-2: Prime Factorization of 6049

Prime factors of 6049 are 23, 263. Prime factorization of 6049 in exponential form is:

6049 = 23¹ × 263¹

Step-3: Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016

Step-4: Factors of 6049

List of positive integer factors of 6049 that divides 6032 without a remainder.

1, 23, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6032 and 6049. The biggest common factor number is the GCF number.
So the greatest common factor 6032 and 6049 is 1.

Also check out the Least Common Multiple of 6032 and 6049