What is the Greatest Common Factor of 55870 and 55875?

Greatest common factor (GCF) of 55870 and 55875 is 5.

GCF(55870,55875) = 5

We will now calculate the prime factors of 55870 and 55875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55870 and 55875.

How to find the GCF of 55870 and 55875?

We will first find the prime factorization of 55870 and 55875. After we will calculate the factors of 55870 and 55875 and find the biggest common factor number .

Step-1: Prime Factorization of 55870

Prime factors of 55870 are 2, 5, 37, 151. Prime factorization of 55870 in exponential form is:

55870 = 2¹ × 5¹ × 37¹ × 151¹

Step-2: Prime Factorization of 55875

Prime factors of 55875 are 3, 5, 149. Prime factorization of 55875 in exponential form is:

55875 = 3¹ × 5³ × 149¹

Step-3: Factors of 55870

List of positive integer factors of 55870 that divides 55870 without a remainder.

1, 2, 5, 10, 37, 74, 151, 185, 302, 370, 755, 1510, 5587, 11174, 27935

Step-4: Factors of 55875

List of positive integer factors of 55875 that divides 55870 without a remainder.

1, 3, 5, 15, 25, 75, 125, 149, 375, 447, 745, 2235, 3725, 11175, 18625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55870 and 55875. The biggest common factor number is the GCF number.
So the greatest common factor 55870 and 55875 is 5.

Also check out the Least Common Multiple of 55870 and 55875