What is the Greatest Common Factor of 58829 and 58836?

Greatest common factor (GCF) of 58829 and 58836 is 1.

GCF(58829,58836) = 1

We will now calculate the prime factors of 58829 and 58836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58829 and 58836.

How to find the GCF of 58829 and 58836?

We will first find the prime factorization of 58829 and 58836. After we will calculate the factors of 58829 and 58836 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 58836

Prime factors of 58836 are 2, 3, 4903. Prime factorization of 58836 in exponential form is:

58836 = 2² × 3¹ × 4903¹

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 58836

List of positive integer factors of 58836 that divides 58829 without a remainder.

1, 2, 3, 4, 6, 12, 4903, 9806, 14709, 19612, 29418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58829 and 58836. The biggest common factor number is the GCF number.
So the greatest common factor 58829 and 58836 is 1.

Also check out the Least Common Multiple of 58829 and 58836