What is the Greatest Common Factor of 58238 and 58249?

Greatest common factor (GCF) of 58238 and 58249 is 1.

GCF(58238,58249) = 1

We will now calculate the prime factors of 58238 and 58249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58238 and 58249.

How to find the GCF of 58238 and 58249?

We will first find the prime factorization of 58238 and 58249. After we will calculate the factors of 58238 and 58249 and find the biggest common factor number .

Step-1: Prime Factorization of 58238

Prime factors of 58238 are 2, 37, 787. Prime factorization of 58238 in exponential form is:

58238 = 2¹ × 37¹ × 787¹

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 58238

List of positive integer factors of 58238 that divides 58238 without a remainder.

1, 2, 37, 74, 787, 1574, 29119

Step-4: Factors of 58249

List of positive integer factors of 58249 that divides 58238 without a remainder.

1, 31, 1879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58238 and 58249. The biggest common factor number is the GCF number.
So the greatest common factor 58238 and 58249 is 1.

Also check out the Least Common Multiple of 58238 and 58249