What is the Greatest Common Factor of 42870 and 42875?

Greatest common factor (GCF) of 42870 and 42875 is 5.

GCF(42870,42875) = 5

We will now calculate the prime factors of 42870 and 42875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42870 and 42875.

How to find the GCF of 42870 and 42875?

We will first find the prime factorization of 42870 and 42875. After we will calculate the factors of 42870 and 42875 and find the biggest common factor number .

Step-1: Prime Factorization of 42870

Prime factors of 42870 are 2, 3, 5, 1429. Prime factorization of 42870 in exponential form is:

42870 = 2¹ × 3¹ × 5¹ × 1429¹

Step-2: Prime Factorization of 42875

Prime factors of 42875 are 5, 7. Prime factorization of 42875 in exponential form is:

42875 = 5³ × 7³

Step-3: Factors of 42870

List of positive integer factors of 42870 that divides 42870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1429, 2858, 4287, 7145, 8574, 14290, 21435

Step-4: Factors of 42875

List of positive integer factors of 42875 that divides 42870 without a remainder.

1, 5, 7, 25, 35, 49, 125, 175, 245, 343, 875, 1225, 1715, 6125, 8575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42870 and 42875. The biggest common factor number is the GCF number.
So the greatest common factor 42870 and 42875 is 5.

Also check out the Least Common Multiple of 42870 and 42875