What is the Greatest Common Factor of 58888 and 58896?

Greatest common factor (GCF) of 58888 and 58896 is 8.

GCF(58888,58896) = 8

We will now calculate the prime factors of 58888 and 58896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58888 and 58896.

How to find the GCF of 58888 and 58896?

We will first find the prime factorization of 58888 and 58896. After we will calculate the factors of 58888 and 58896 and find the biggest common factor number .

Step-1: Prime Factorization of 58888

Prime factors of 58888 are 2, 17, 433. Prime factorization of 58888 in exponential form is:

58888 = 2³ × 17¹ × 433¹

Step-2: Prime Factorization of 58896

Prime factors of 58896 are 2, 3, 409. Prime factorization of 58896 in exponential form is:

58896 = 2⁴ × 3² × 409¹

Step-3: Factors of 58888

List of positive integer factors of 58888 that divides 58888 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 433, 866, 1732, 3464, 7361, 14722, 29444

Step-4: Factors of 58896

List of positive integer factors of 58896 that divides 58888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 409, 818, 1227, 1636, 2454, 3272, 3681, 4908, 6544, 7362, 9816, 14724, 19632, 29448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58888 and 58896. The biggest common factor number is the GCF number.
So the greatest common factor 58888 and 58896 is 8.

Also check out the Least Common Multiple of 58888 and 58896