What is the Greatest Common Factor of 19374 and 19392?

Greatest common factor (GCF) of 19374 and 19392 is 6.

GCF(19374,19392) = 6

We will now calculate the prime factors of 19374 and 19392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19374 and 19392.

How to find the GCF of 19374 and 19392?

We will first find the prime factorization of 19374 and 19392. After we will calculate the factors of 19374 and 19392 and find the biggest common factor number .

Step-1: Prime Factorization of 19374

Prime factors of 19374 are 2, 3, 3229. Prime factorization of 19374 in exponential form is:

19374 = 2¹ × 3¹ × 3229¹

Step-2: 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-3: Factors of 19374

List of positive integer factors of 19374 that divides 19374 without a remainder.

1, 2, 3, 6, 3229, 6458, 9687

Step-4: Factors of 19392

List of positive integer factors of 19392 that divides 19374 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19374 and 19392. The biggest common factor number is the GCF number.
So the greatest common factor 19374 and 19392 is 6.

Also check out the Least Common Multiple of 19374 and 19392