What is the Greatest Common Factor of 58029 and 58049?

Greatest common factor (GCF) of 58029 and 58049 is 1.

GCF(58029,58049) = 1

We will now calculate the prime factors of 58029 and 58049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58029 and 58049.

How to find the GCF of 58029 and 58049?

We will first find the prime factorization of 58029 and 58049. After we will calculate the factors of 58029 and 58049 and find the biggest common factor number .

Step-1: Prime Factorization of 58029

Prime factors of 58029 are 3, 23, 29. Prime factorization of 58029 in exponential form is:

58029 = 3¹ × 23¹ × 29²

Step-2: Prime Factorization of 58049

Prime factors of 58049 are 58049. Prime factorization of 58049 in exponential form is:

58049 = 58049¹

Step-3: Factors of 58029

List of positive integer factors of 58029 that divides 58029 without a remainder.

1, 3, 23, 29, 69, 87, 667, 841, 2001, 2523, 19343

Step-4: Factors of 58049

List of positive integer factors of 58049 that divides 58029 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58029 and 58049. The biggest common factor number is the GCF number.
So the greatest common factor 58029 and 58049 is 1.

Also check out the Least Common Multiple of 58029 and 58049