What is the Greatest Common Factor of 58947 and 58966?

Greatest common factor (GCF) of 58947 and 58966 is 1.

GCF(58947,58966) = 1

We will now calculate the prime factors of 58947 and 58966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58947 and 58966.

How to find the GCF of 58947 and 58966?

We will first find the prime factorization of 58947 and 58966. After we will calculate the factors of 58947 and 58966 and find the biggest common factor number .

Step-1: Prime Factorization of 58947

Prime factors of 58947 are 3, 7, 401. Prime factorization of 58947 in exponential form is:

58947 = 3¹ × 7² × 401¹

Step-2: Prime Factorization of 58966

Prime factors of 58966 are 2, 29483. Prime factorization of 58966 in exponential form is:

58966 = 2¹ × 29483¹

Step-3: Factors of 58947

List of positive integer factors of 58947 that divides 58947 without a remainder.

1, 3, 7, 21, 49, 147, 401, 1203, 2807, 8421, 19649

Step-4: Factors of 58966

List of positive integer factors of 58966 that divides 58947 without a remainder.

1, 2, 29483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58947 and 58966. The biggest common factor number is the GCF number.
So the greatest common factor 58947 and 58966 is 1.

Also check out the Least Common Multiple of 58947 and 58966