What is the Greatest Common Factor of 58828 and 58839?

Greatest common factor (GCF) of 58828 and 58839 is 11.

GCF(58828,58839) = 11

We will now calculate the prime factors of 58828 and 58839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58828 and 58839.

How to find the GCF of 58828 and 58839?

We will first find the prime factorization of 58828 and 58839. After we will calculate the factors of 58828 and 58839 and find the biggest common factor number .

Step-1: Prime Factorization of 58828

Prime factors of 58828 are 2, 7, 11, 191. Prime factorization of 58828 in exponential form is:

58828 = 2² × 7¹ × 11¹ × 191¹

Step-2: Prime Factorization of 58839

Prime factors of 58839 are 3, 11, 1783. Prime factorization of 58839 in exponential form is:

58839 = 3¹ × 11¹ × 1783¹

Step-3: Factors of 58828

List of positive integer factors of 58828 that divides 58828 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 191, 308, 382, 764, 1337, 2101, 2674, 4202, 5348, 8404, 14707, 29414

Step-4: Factors of 58839

List of positive integer factors of 58839 that divides 58828 without a remainder.

1, 3, 11, 33, 1783, 5349, 19613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58828 and 58839. The biggest common factor number is the GCF number.
So the greatest common factor 58828 and 58839 is 11.

Also check out the Least Common Multiple of 58828 and 58839