What is the Greatest Common Factor of 58829 and 58841?

Greatest common factor (GCF) of 58829 and 58841 is 1.

GCF(58829,58841) = 1

We will now calculate the prime factors of 58829 and 58841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58829 and 58841.

How to find the GCF of 58829 and 58841?

We will first find the prime factorization of 58829 and 58841. After we will calculate the factors of 58829 and 58841 and find the biggest common factor number .

Step-1: Prime Factorization of 58829

Prime factors of 58829 are 89, 661. Prime factorization of 58829 in exponential form is:

58829 = 89¹ × 661¹

Step-2: Prime Factorization of 58841

Prime factors of 58841 are 29, 2029. Prime factorization of 58841 in exponential form is:

58841 = 29¹ × 2029¹

Step-3: Factors of 58829

List of positive integer factors of 58829 that divides 58829 without a remainder.

1, 89, 661

Step-4: Factors of 58841

List of positive integer factors of 58841 that divides 58829 without a remainder.

1, 29, 2029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58829 and 58841. The biggest common factor number is the GCF number.
So the greatest common factor 58829 and 58841 is 1.

Also check out the Least Common Multiple of 58829 and 58841