What is the Greatest Common Factor of 58671 and 58691?

Greatest common factor (GCF) of 58671 and 58691 is 1.

GCF(58671,58691) = 1

We will now calculate the prime factors of 58671 and 58691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58671 and 58691.

How to find the GCF of 58671 and 58691?

We will first find the prime factorization of 58671 and 58691. After we will calculate the factors of 58671 and 58691 and find the biggest common factor number .

Step-1: Prime Factorization of 58671

Prime factors of 58671 are 3, 41, 53. Prime factorization of 58671 in exponential form is:

58671 = 3³ × 41¹ × 53¹

Step-2: Prime Factorization of 58691

Prime factors of 58691 are 19, 3089. Prime factorization of 58691 in exponential form is:

58691 = 19¹ × 3089¹

Step-3: Factors of 58671

List of positive integer factors of 58671 that divides 58671 without a remainder.

1, 3, 9, 27, 41, 53, 123, 159, 369, 477, 1107, 1431, 2173, 6519, 19557

Step-4: Factors of 58691

List of positive integer factors of 58691 that divides 58671 without a remainder.

1, 19, 3089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58671 and 58691. The biggest common factor number is the GCF number.
So the greatest common factor 58671 and 58691 is 1.

Also check out the Least Common Multiple of 58671 and 58691