What is the Greatest Common Factor of 19392 and 19407?

Greatest common factor (GCF) of 19392 and 19407 is 3.

GCF(19392,19407) = 3

We will now calculate the prime factors of 19392 and 19407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19392 and 19407.

How to find the GCF of 19392 and 19407?

We will first find the prime factorization of 19392 and 19407. After we will calculate the factors of 19392 and 19407 and find the biggest common factor number .

Step-1: Prime Factorization of 19392

Prime factors of 19392 are 2, 3, 101. Prime factorization of 19392 in exponential form is:

19392 = 2⁶ × 3¹ × 101¹

Step-2: Prime Factorization of 19407

Prime factors of 19407 are 3, 6469. Prime factorization of 19407 in exponential form is:

19407 = 3¹ × 6469¹

Step-3: Factors of 19392

List of positive integer factors of 19392 that divides 19392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 101, 192, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 6464, 9696

Step-4: Factors of 19407

List of positive integer factors of 19407 that divides 19392 without a remainder.

1, 3, 6469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19392 and 19407. The biggest common factor number is the GCF number.
So the greatest common factor 19392 and 19407 is 3.

Also check out the Least Common Multiple of 19392 and 19407