What is the Greatest Common Factor of 58690 and 58705?

Greatest common factor (GCF) of 58690 and 58705 is 5.

GCF(58690,58705) = 5

We will now calculate the prime factors of 58690 and 58705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58690 and 58705.

How to find the GCF of 58690 and 58705?

We will first find the prime factorization of 58690 and 58705. After we will calculate the factors of 58690 and 58705 and find the biggest common factor number .

Step-1: Prime Factorization of 58690

Prime factors of 58690 are 2, 5, 5869. Prime factorization of 58690 in exponential form is:

58690 = 2¹ × 5¹ × 5869¹

Step-2: Prime Factorization of 58705

Prime factors of 58705 are 5, 59, 199. Prime factorization of 58705 in exponential form is:

58705 = 5¹ × 59¹ × 199¹

Step-3: Factors of 58690

List of positive integer factors of 58690 that divides 58690 without a remainder.

1, 2, 5, 10, 5869, 11738, 29345

Step-4: Factors of 58705

List of positive integer factors of 58705 that divides 58690 without a remainder.

1, 5, 59, 199, 295, 995, 11741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58690 and 58705. The biggest common factor number is the GCF number.
So the greatest common factor 58690 and 58705 is 5.

Also check out the Least Common Multiple of 58690 and 58705