What is the Greatest Common Factor of 58880 and 58900?

Greatest common factor (GCF) of 58880 and 58900 is 20.

GCF(58880,58900) = 20

We will now calculate the prime factors of 58880 and 58900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58880 and 58900.

How to find the GCF of 58880 and 58900?

We will first find the prime factorization of 58880 and 58900. After we will calculate the factors of 58880 and 58900 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 58900

Prime factors of 58900 are 2, 5, 19, 31. Prime factorization of 58900 in exponential form is:

58900 = 2² × 5² × 19¹ × 31¹

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 58900

List of positive integer factors of 58900 that divides 58880 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 31, 38, 50, 62, 76, 95, 100, 124, 155, 190, 310, 380, 475, 589, 620, 775, 950, 1178, 1550, 1900, 2356, 2945, 3100, 5890, 11780, 14725, 29450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58880 and 58900. The biggest common factor number is the GCF number.
So the greatest common factor 58880 and 58900 is 20.

Also check out the Least Common Multiple of 58880 and 58900