What is the Greatest Common Factor of 19854 and 19860?

Greatest common factor (GCF) of 19854 and 19860 is 6.

GCF(19854,19860) = 6

We will now calculate the prime factors of 19854 and 19860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19854 and 19860.

How to find the GCF of 19854 and 19860?

We will first find the prime factorization of 19854 and 19860. After we will calculate the factors of 19854 and 19860 and find the biggest common factor number .

Step-1: Prime Factorization of 19854

Prime factors of 19854 are 2, 3, 1103. Prime factorization of 19854 in exponential form is:

19854 = 2¹ × 3² × 1103¹

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 19854

List of positive integer factors of 19854 that divides 19854 without a remainder.

1, 2, 3, 6, 9, 18, 1103, 2206, 3309, 6618, 9927

Step-4: Factors of 19860

List of positive integer factors of 19860 that divides 19854 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 19854 and 19860. The biggest common factor number is the GCF number.
So the greatest common factor 19854 and 19860 is 6.

Also check out the Least Common Multiple of 19854 and 19860