What is the Greatest Common Factor of 58916 and 58927?

Greatest common factor (GCF) of 58916 and 58927 is 11.

GCF(58916,58927) = 11

We will now calculate the prime factors of 58916 and 58927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58916 and 58927.

How to find the GCF of 58916 and 58927?

We will first find the prime factorization of 58916 and 58927. After we will calculate the factors of 58916 and 58927 and find the biggest common factor number .

Step-1: Prime Factorization of 58916

Prime factors of 58916 are 2, 11, 13, 103. Prime factorization of 58916 in exponential form is:

58916 = 2² × 11¹ × 13¹ × 103¹

Step-2: Prime Factorization of 58927

Prime factors of 58927 are 11, 487. Prime factorization of 58927 in exponential form is:

58927 = 11² × 487¹

Step-3: Factors of 58916

List of positive integer factors of 58916 that divides 58916 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 103, 143, 206, 286, 412, 572, 1133, 1339, 2266, 2678, 4532, 5356, 14729, 29458

Step-4: Factors of 58927

List of positive integer factors of 58927 that divides 58916 without a remainder.

1, 11, 121, 487, 5357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58916 and 58927. The biggest common factor number is the GCF number.
So the greatest common factor 58916 and 58927 is 11.

Also check out the Least Common Multiple of 58916 and 58927