What is the Greatest Common Factor of 58880 and 58889?

Greatest common factor (GCF) of 58880 and 58889 is 1.

GCF(58880,58889) = 1

We will now calculate the prime factors of 58880 and 58889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58880 and 58889.

How to find the GCF of 58880 and 58889?

We will first find the prime factorization of 58880 and 58889. After we will calculate the factors of 58880 and 58889 and find the biggest common factor number .

Step-1: Prime Factorization of 58880

Prime factors of 58880 are 2, 5, 23. Prime factorization of 58880 in exponential form is:

58880 = 2⁹ × 5¹ × 23¹

Step-2: Prime Factorization of 58889

Prime factors of 58889 are 58889. Prime factorization of 58889 in exponential form is:

58889 = 58889¹

Step-3: Factors of 58880

List of positive integer factors of 58880 that divides 58880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 128, 160, 184, 230, 256, 320, 368, 460, 512, 640, 736, 920, 1280, 1472, 1840, 2560, 2944, 3680, 5888, 7360, 11776, 14720, 29440

Step-4: Factors of 58889

List of positive integer factors of 58889 that divides 58880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58880 and 58889. The biggest common factor number is the GCF number.
So the greatest common factor 58880 and 58889 is 1.

Also check out the Least Common Multiple of 58880 and 58889