What is the Greatest Common Factor of 1870 and 1875?

Greatest common factor (GCF) of 1870 and 1875 is 5.

GCF(1870,1875) = 5

We will now calculate the prime factors of 1870 and 1875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1870 and 1875.

How to find the GCF of 1870 and 1875?

We will first find the prime factorization of 1870 and 1875. After we will calculate the factors of 1870 and 1875 and find the biggest common factor number .

Step-1: Prime Factorization of 1870

Prime factors of 1870 are 2, 5, 11, 17. Prime factorization of 1870 in exponential form is:

1870 = 2¹ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 1875

Prime factors of 1875 are 3, 5. Prime factorization of 1875 in exponential form is:

1875 = 3¹ × 5⁴

Step-3: Factors of 1870

List of positive integer factors of 1870 that divides 1870 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935

Step-4: Factors of 1875

List of positive integer factors of 1875 that divides 1870 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1870 and 1875. The biggest common factor number is the GCF number.
So the greatest common factor 1870 and 1875 is 5.

Also check out the Least Common Multiple of 1870 and 1875