What is the Greatest Common Factor of 58278 and 58283?

Greatest common factor (GCF) of 58278 and 58283 is 1.

GCF(58278,58283) = 1

We will now calculate the prime factors of 58278 and 58283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58278 and 58283.

How to find the GCF of 58278 and 58283?

We will first find the prime factorization of 58278 and 58283. After we will calculate the factors of 58278 and 58283 and find the biggest common factor number .

Step-1: Prime Factorization of 58278

Prime factors of 58278 are 2, 3, 11, 883. Prime factorization of 58278 in exponential form is:

58278 = 2¹ × 3¹ × 11¹ × 883¹

Step-2: Prime Factorization of 58283

Prime factors of 58283 are 167, 349. Prime factorization of 58283 in exponential form is:

58283 = 167¹ × 349¹

Step-3: Factors of 58278

List of positive integer factors of 58278 that divides 58278 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 883, 1766, 2649, 5298, 9713, 19426, 29139

Step-4: Factors of 58283

List of positive integer factors of 58283 that divides 58278 without a remainder.

1, 167, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58278 and 58283. The biggest common factor number is the GCF number.
So the greatest common factor 58278 and 58283 is 1.

Also check out the Least Common Multiple of 58278 and 58283