What is the Greatest Common Factor of 58234 and 58249?

Greatest common factor (GCF) of 58234 and 58249 is 1.

GCF(58234,58249) = 1

We will now calculate the prime factors of 58234 and 58249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58234 and 58249.

How to find the GCF of 58234 and 58249?

We will first find the prime factorization of 58234 and 58249. After we will calculate the factors of 58234 and 58249 and find the biggest common factor number .

Step-1: Prime Factorization of 58234

Prime factors of 58234 are 2, 11, 2647. Prime factorization of 58234 in exponential form is:

58234 = 2¹ × 11¹ × 2647¹

Step-2: Prime Factorization of 58249

Prime factors of 58249 are 31, 1879. Prime factorization of 58249 in exponential form is:

58249 = 31¹ × 1879¹

Step-3: Factors of 58234

List of positive integer factors of 58234 that divides 58234 without a remainder.

1, 2, 11, 22, 2647, 5294, 29117

Step-4: Factors of 58249

List of positive integer factors of 58249 that divides 58234 without a remainder.

1, 31, 1879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58234 and 58249. The biggest common factor number is the GCF number.
So the greatest common factor 58234 and 58249 is 1.

Also check out the Least Common Multiple of 58234 and 58249