What is the Greatest Common Factor of 19368 and 19372?

Greatest common factor (GCF) of 19368 and 19372 is 4.

GCF(19368,19372) = 4

We will now calculate the prime factors of 19368 and 19372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19368 and 19372.

How to find the GCF of 19368 and 19372?

We will first find the prime factorization of 19368 and 19372. After we will calculate the factors of 19368 and 19372 and find the biggest common factor number .

Step-1: Prime Factorization of 19368

Prime factors of 19368 are 2, 3, 269. Prime factorization of 19368 in exponential form is:

19368 = 2³ × 3² × 269¹

Step-2: Prime Factorization of 19372

Prime factors of 19372 are 2, 29, 167. Prime factorization of 19372 in exponential form is:

19372 = 2² × 29¹ × 167¹

Step-3: Factors of 19368

List of positive integer factors of 19368 that divides 19368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 269, 538, 807, 1076, 1614, 2152, 2421, 3228, 4842, 6456, 9684

Step-4: Factors of 19372

List of positive integer factors of 19372 that divides 19368 without a remainder.

1, 2, 4, 29, 58, 116, 167, 334, 668, 4843, 9686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19368 and 19372. The biggest common factor number is the GCF number.
So the greatest common factor 19368 and 19372 is 4.

Also check out the Least Common Multiple of 19368 and 19372