What is the Greatest Common Factor of 58700 and 58704?

Greatest common factor (GCF) of 58700 and 58704 is 4.

GCF(58700,58704) = 4

We will now calculate the prime factors of 58700 and 58704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58700 and 58704.

How to find the GCF of 58700 and 58704?

We will first find the prime factorization of 58700 and 58704. After we will calculate the factors of 58700 and 58704 and find the biggest common factor number .

Step-1: Prime Factorization of 58700

Prime factors of 58700 are 2, 5, 587. Prime factorization of 58700 in exponential form is:

58700 = 2² × 5² × 587¹

Step-2: Prime Factorization of 58704

Prime factors of 58704 are 2, 3, 1223. Prime factorization of 58704 in exponential form is:

58704 = 2⁴ × 3¹ × 1223¹

Step-3: Factors of 58700

List of positive integer factors of 58700 that divides 58700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 587, 1174, 2348, 2935, 5870, 11740, 14675, 29350

Step-4: Factors of 58704

List of positive integer factors of 58704 that divides 58700 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1223, 2446, 3669, 4892, 7338, 9784, 14676, 19568, 29352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58700 and 58704. The biggest common factor number is the GCF number.
So the greatest common factor 58700 and 58704 is 4.

Also check out the Least Common Multiple of 58700 and 58704