What is the Greatest Common Factor of 19845 and 19860?

Greatest common factor (GCF) of 19845 and 19860 is 15.

GCF(19845,19860) = 15

We will now calculate the prime factors of 19845 and 19860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19845 and 19860.

How to find the GCF of 19845 and 19860?

We will first find the prime factorization of 19845 and 19860. After we will calculate the factors of 19845 and 19860 and find the biggest common factor number .

Step-1: Prime Factorization of 19845

Prime factors of 19845 are 3, 5, 7. Prime factorization of 19845 in exponential form is:

19845 = 3⁴ × 5¹ × 7²

Step-2: 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-3: Factors of 19845

List of positive integer factors of 19845 that divides 19845 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 81, 105, 135, 147, 189, 245, 315, 405, 441, 567, 735, 945, 1323, 2205, 2835, 3969, 6615

Step-4: Factors of 19860

List of positive integer factors of 19860 that divides 19845 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19845 and 19860. The biggest common factor number is the GCF number.
So the greatest common factor 19845 and 19860 is 15.

Also check out the Least Common Multiple of 19845 and 19860