What is the Greatest Common Factor of 1870 and 1885?

Greatest common factor (GCF) of 1870 and 1885 is 5.

GCF(1870,1885) = 5

We will now calculate the prime factors of 1870 and 1885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1870 and 1885.

How to find the GCF of 1870 and 1885?

We will first find the prime factorization of 1870 and 1885. After we will calculate the factors of 1870 and 1885 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 1885

Prime factors of 1885 are 5, 13, 29. Prime factorization of 1885 in exponential form is:

1885 = 5¹ × 13¹ × 29¹

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 1885

List of positive integer factors of 1885 that divides 1870 without a remainder.

1, 5, 13, 29, 65, 145, 377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1870 and 1885. The biggest common factor number is the GCF number.
So the greatest common factor 1870 and 1885 is 5.

Also check out the Least Common Multiple of 1870 and 1885