What is the Greatest Common Factor of 19860 and 19869?

Greatest common factor (GCF) of 19860 and 19869 is 3.

GCF(19860,19869) = 3

We will now calculate the prime factors of 19860 and 19869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19860 and 19869.

How to find the GCF of 19860 and 19869?

We will first find the prime factorization of 19860 and 19869. After we will calculate the factors of 19860 and 19869 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 19869

Prime factors of 19869 are 3, 37, 179. Prime factorization of 19869 in exponential form is:

19869 = 3¹ × 37¹ × 179¹

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 19869

List of positive integer factors of 19869 that divides 19860 without a remainder.

1, 3, 37, 111, 179, 537, 6623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19860 and 19869. The biggest common factor number is the GCF number.
So the greatest common factor 19860 and 19869 is 3.

Also check out the Least Common Multiple of 19860 and 19869