What is the Greatest Common Factor of 18870 and 18890?

Greatest common factor (GCF) of 18870 and 18890 is 10.

GCF(18870,18890) = 10

We will now calculate the prime factors of 18870 and 18890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18870 and 18890.

How to find the GCF of 18870 and 18890?

We will first find the prime factorization of 18870 and 18890. After we will calculate the factors of 18870 and 18890 and find the biggest common factor number .

Step-1: Prime Factorization of 18870

Prime factors of 18870 are 2, 3, 5, 17, 37. Prime factorization of 18870 in exponential form is:

18870 = 2¹ × 3¹ × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 18890

Prime factors of 18890 are 2, 5, 1889. Prime factorization of 18890 in exponential form is:

18890 = 2¹ × 5¹ × 1889¹

Step-3: Factors of 18870

List of positive integer factors of 18870 that divides 18870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 37, 51, 74, 85, 102, 111, 170, 185, 222, 255, 370, 510, 555, 629, 1110, 1258, 1887, 3145, 3774, 6290, 9435

Step-4: Factors of 18890

List of positive integer factors of 18890 that divides 18870 without a remainder.

1, 2, 5, 10, 1889, 3778, 9445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18870 and 18890. The biggest common factor number is the GCF number.
So the greatest common factor 18870 and 18890 is 10.

Also check out the Least Common Multiple of 18870 and 18890