What is the Greatest Common Factor of 58834 and 58851?

Greatest common factor (GCF) of 58834 and 58851 is 1.

GCF(58834,58851) = 1

We will now calculate the prime factors of 58834 and 58851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58834 and 58851.

How to find the GCF of 58834 and 58851?

We will first find the prime factorization of 58834 and 58851. After we will calculate the factors of 58834 and 58851 and find the biggest common factor number .

Step-1: Prime Factorization of 58834

Prime factors of 58834 are 2, 23, 1279. Prime factorization of 58834 in exponential form is:

58834 = 2¹ × 23¹ × 1279¹

Step-2: Prime Factorization of 58851

Prime factors of 58851 are 3, 13, 503. Prime factorization of 58851 in exponential form is:

58851 = 3² × 13¹ × 503¹

Step-3: Factors of 58834

List of positive integer factors of 58834 that divides 58834 without a remainder.

1, 2, 23, 46, 1279, 2558, 29417

Step-4: Factors of 58851

List of positive integer factors of 58851 that divides 58834 without a remainder.

1, 3, 9, 13, 39, 117, 503, 1509, 4527, 6539, 19617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58834 and 58851. The biggest common factor number is the GCF number.
So the greatest common factor 58834 and 58851 is 1.

Also check out the Least Common Multiple of 58834 and 58851