What is the Greatest Common Factor of 58870 and 58880?

Greatest common factor (GCF) of 58870 and 58880 is 10.

GCF(58870,58880) = 10

We will now calculate the prime factors of 58870 and 58880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58870 and 58880.

How to find the GCF of 58870 and 58880?

We will first find the prime factorization of 58870 and 58880. After we will calculate the factors of 58870 and 58880 and find the biggest common factor number .

Step-1: Prime Factorization of 58870

Prime factors of 58870 are 2, 5, 7, 29. Prime factorization of 58870 in exponential form is:

58870 = 2¹ × 5¹ × 7¹ × 29²

Step-2: 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-3: Factors of 58870

List of positive integer factors of 58870 that divides 58870 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 841, 1015, 1682, 2030, 4205, 5887, 8410, 11774, 29435

Step-4: Factors of 58880

List of positive integer factors of 58880 that divides 58870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58870 and 58880. The biggest common factor number is the GCF number.
So the greatest common factor 58870 and 58880 is 10.

Also check out the Least Common Multiple of 58870 and 58880