What is the Greatest Common Factor of 58829 and 58838?

Greatest common factor (GCF) of 58829 and 58838 is 1.

GCF(58829,58838) = 1

We will now calculate the prime factors of 58829 and 58838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58829 and 58838.

How to find the GCF of 58829 and 58838?

We will first find the prime factorization of 58829 and 58838. After we will calculate the factors of 58829 and 58838 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 58838

Prime factors of 58838 are 2, 13, 31, 73. Prime factorization of 58838 in exponential form is:

58838 = 2¹ × 13¹ × 31¹ × 73¹

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 58838

List of positive integer factors of 58838 that divides 58829 without a remainder.

1, 2, 13, 26, 31, 62, 73, 146, 403, 806, 949, 1898, 2263, 4526, 29419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58829 and 58838. The biggest common factor number is the GCF number.
So the greatest common factor 58829 and 58838 is 1.

Also check out the Least Common Multiple of 58829 and 58838