What is the Greatest Common Factor of 19944 and 19956?

Greatest common factor (GCF) of 19944 and 19956 is 12.

GCF(19944,19956) = 12

We will now calculate the prime factors of 19944 and 19956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19944 and 19956.

How to find the GCF of 19944 and 19956?

We will first find the prime factorization of 19944 and 19956. After we will calculate the factors of 19944 and 19956 and find the biggest common factor number .

Step-1: Prime Factorization of 19944

Prime factors of 19944 are 2, 3, 277. Prime factorization of 19944 in exponential form is:

19944 = 2³ × 3² × 277¹

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 19944

List of positive integer factors of 19944 that divides 19944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 277, 554, 831, 1108, 1662, 2216, 2493, 3324, 4986, 6648, 9972

Step-4: Factors of 19956

List of positive integer factors of 19956 that divides 19944 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 19944 and 19956. The biggest common factor number is the GCF number.
So the greatest common factor 19944 and 19956 is 12.

Also check out the Least Common Multiple of 19944 and 19956