What is the Greatest Common Factor of 58825 and 58829?

Greatest common factor (GCF) of 58825 and 58829 is 1.

GCF(58825,58829) = 1

We will now calculate the prime factors of 58825 and 58829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58825 and 58829.

How to find the GCF of 58825 and 58829?

We will first find the prime factorization of 58825 and 58829. After we will calculate the factors of 58825 and 58829 and find the biggest common factor number .

Step-1: Prime Factorization of 58825

Prime factors of 58825 are 5, 13, 181. Prime factorization of 58825 in exponential form is:

58825 = 5² × 13¹ × 181¹

Step-2: Prime Factorization of 58829

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

58829 = 89¹ × 661¹

Step-3: Factors of 58825

List of positive integer factors of 58825 that divides 58825 without a remainder.

1, 5, 13, 25, 65, 181, 325, 905, 2353, 4525, 11765

Step-4: Factors of 58829

List of positive integer factors of 58829 that divides 58825 without a remainder.

1, 89, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58825 and 58829. The biggest common factor number is the GCF number.
So the greatest common factor 58825 and 58829 is 1.

Also check out the Least Common Multiple of 58825 and 58829