What is the Greatest Common Factor of 58658 and 58678?

Greatest common factor (GCF) of 58658 and 58678 is 2.

GCF(58658,58678) = 2

We will now calculate the prime factors of 58658 and 58678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58658 and 58678.

How to find the GCF of 58658 and 58678?

We will first find the prime factorization of 58658 and 58678. After we will calculate the factors of 58658 and 58678 and find the biggest common factor number .

Step-1: Prime Factorization of 58658

Prime factors of 58658 are 2, 139, 211. Prime factorization of 58658 in exponential form is:

58658 = 2¹ × 139¹ × 211¹

Step-2: Prime Factorization of 58678

Prime factors of 58678 are 2, 29339. Prime factorization of 58678 in exponential form is:

58678 = 2¹ × 29339¹

Step-3: Factors of 58658

List of positive integer factors of 58658 that divides 58658 without a remainder.

1, 2, 139, 211, 278, 422, 29329

Step-4: Factors of 58678

List of positive integer factors of 58678 that divides 58658 without a remainder.

1, 2, 29339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58658 and 58678. The biggest common factor number is the GCF number.
So the greatest common factor 58658 and 58678 is 2.

Also check out the Least Common Multiple of 58658 and 58678