What is the Greatest Common Factor of 15890 and 15900?

Greatest common factor (GCF) of 15890 and 15900 is 10.

GCF(15890,15900) = 10

We will now calculate the prime factors of 15890 and 15900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15890 and 15900.

How to find the GCF of 15890 and 15900?

We will first find the prime factorization of 15890 and 15900. After we will calculate the factors of 15890 and 15900 and find the biggest common factor number .

Step-1: Prime Factorization of 15890

Prime factors of 15890 are 2, 5, 7, 227. Prime factorization of 15890 in exponential form is:

15890 = 2¹ × 5¹ × 7¹ × 227¹

Step-2: Prime Factorization of 15900

Prime factors of 15900 are 2, 3, 5, 53. Prime factorization of 15900 in exponential form is:

15900 = 2² × 3¹ × 5² × 53¹

Step-3: Factors of 15890

List of positive integer factors of 15890 that divides 15890 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 227, 454, 1135, 1589, 2270, 3178, 7945

Step-4: Factors of 15900

List of positive integer factors of 15900 that divides 15890 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75, 100, 106, 150, 159, 212, 265, 300, 318, 530, 636, 795, 1060, 1325, 1590, 2650, 3180, 3975, 5300, 7950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15890 and 15900. The biggest common factor number is the GCF number.
So the greatest common factor 15890 and 15900 is 10.

Also check out the Least Common Multiple of 15890 and 15900