What is the Greatest Common Factor of 58047 and 58063?

Greatest common factor (GCF) of 58047 and 58063 is 1.

GCF(58047,58063) = 1

We will now calculate the prime factors of 58047 and 58063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58047 and 58063.

How to find the GCF of 58047 and 58063?

We will first find the prime factorization of 58047 and 58063. After we will calculate the factors of 58047 and 58063 and find the biggest common factor number .

Step-1: Prime Factorization of 58047

Prime factors of 58047 are 3, 11, 1759. Prime factorization of 58047 in exponential form is:

58047 = 3¹ × 11¹ × 1759¹

Step-2: Prime Factorization of 58063

Prime factors of 58063 are 31, 1873. Prime factorization of 58063 in exponential form is:

58063 = 31¹ × 1873¹

Step-3: Factors of 58047

List of positive integer factors of 58047 that divides 58047 without a remainder.

1, 3, 11, 33, 1759, 5277, 19349

Step-4: Factors of 58063

List of positive integer factors of 58063 that divides 58047 without a remainder.

1, 31, 1873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58047 and 58063. The biggest common factor number is the GCF number.
So the greatest common factor 58047 and 58063 is 1.

Also check out the Least Common Multiple of 58047 and 58063