What is the Greatest Common Factor of 58278 and 58289?

Greatest common factor (GCF) of 58278 and 58289 is 11.

GCF(58278,58289) = 11

We will now calculate the prime factors of 58278 and 58289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58278 and 58289.

How to find the GCF of 58278 and 58289?

We will first find the prime factorization of 58278 and 58289. After we will calculate the factors of 58278 and 58289 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 58289

Prime factors of 58289 are 7, 11, 757. Prime factorization of 58289 in exponential form is:

58289 = 7¹ × 11¹ × 757¹

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 58289

List of positive integer factors of 58289 that divides 58278 without a remainder.

1, 7, 11, 77, 757, 5299, 8327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58278 and 58289. The biggest common factor number is the GCF number.
So the greatest common factor 58278 and 58289 is 11.

Also check out the Least Common Multiple of 58278 and 58289