What is the Greatest Common Factor of 19947 and 19956?

Greatest common factor (GCF) of 19947 and 19956 is 3.

GCF(19947,19956) = 3

We will now calculate the prime factors of 19947 and 19956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19947 and 19956.

How to find the GCF of 19947 and 19956?

We will first find the prime factorization of 19947 and 19956. After we will calculate the factors of 19947 and 19956 and find the biggest common factor number .

Step-1: Prime Factorization of 19947

Prime factors of 19947 are 3, 61, 109. Prime factorization of 19947 in exponential form is:

19947 = 3¹ × 61¹ × 109¹

Step-2: Prime Factorization of 19956

Prime factors of 19956 are 2, 3, 1663. Prime factorization of 19956 in exponential form is:

19956 = 2² × 3¹ × 1663¹

Step-3: Factors of 19947

List of positive integer factors of 19947 that divides 19947 without a remainder.

1, 3, 61, 109, 183, 327, 6649

Step-4: Factors of 19956

List of positive integer factors of 19956 that divides 19947 without a remainder.

1, 2, 3, 4, 6, 12, 1663, 3326, 4989, 6652, 9978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19947 and 19956. The biggest common factor number is the GCF number.
So the greatest common factor 19947 and 19956 is 3.

Also check out the Least Common Multiple of 19947 and 19956