What is the Greatest Common Factor of 19860 and 19875?

Greatest common factor (GCF) of 19860 and 19875 is 15.

GCF(19860,19875) = 15

We will now calculate the prime factors of 19860 and 19875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19860 and 19875.

How to find the GCF of 19860 and 19875?

We will first find the prime factorization of 19860 and 19875. After we will calculate the factors of 19860 and 19875 and find the biggest common factor number .

Step-1: Prime Factorization of 19860

Prime factors of 19860 are 2, 3, 5, 331. Prime factorization of 19860 in exponential form is:

19860 = 2² × 3¹ × 5¹ × 331¹

Step-2: Prime Factorization of 19875

Prime factors of 19875 are 3, 5, 53. Prime factorization of 19875 in exponential form is:

19875 = 3¹ × 5³ × 53¹

Step-3: Factors of 19860

List of positive integer factors of 19860 that divides 19860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 331, 662, 993, 1324, 1655, 1986, 3310, 3972, 4965, 6620, 9930

Step-4: Factors of 19875

List of positive integer factors of 19875 that divides 19860 without a remainder.

1, 3, 5, 15, 25, 53, 75, 125, 159, 265, 375, 795, 1325, 3975, 6625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19860 and 19875. The biggest common factor number is the GCF number.
So the greatest common factor 19860 and 19875 is 15.

Also check out the Least Common Multiple of 19860 and 19875