What is the Greatest Common Factor of 58880 and 58888?

Greatest common factor (GCF) of 58880 and 58888 is 8.

GCF(58880,58888) = 8

We will now calculate the prime factors of 58880 and 58888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58880 and 58888.

How to find the GCF of 58880 and 58888?

We will first find the prime factorization of 58880 and 58888. After we will calculate the factors of 58880 and 58888 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 58888

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

58888 = 2³ × 17¹ × 433¹

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 58888

List of positive integer factors of 58888 that divides 58880 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58880 and 58888. The biggest common factor number is the GCF number.
So the greatest common factor 58880 and 58888 is 8.

Also check out the Least Common Multiple of 58880 and 58888