What is the Greatest Common Factor of 19280 and 19296?

Greatest common factor (GCF) of 19280 and 19296 is 16.

GCF(19280,19296) = 16

We will now calculate the prime factors of 19280 and 19296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19280 and 19296.

How to find the GCF of 19280 and 19296?

We will first find the prime factorization of 19280 and 19296. After we will calculate the factors of 19280 and 19296 and find the biggest common factor number .

Step-1: Prime Factorization of 19280

Prime factors of 19280 are 2, 5, 241. Prime factorization of 19280 in exponential form is:

19280 = 2⁴ × 5¹ × 241¹

Step-2: Prime Factorization of 19296

Prime factors of 19296 are 2, 3, 67. Prime factorization of 19296 in exponential form is:

19296 = 2⁵ × 3² × 67¹

Step-3: Factors of 19280

List of positive integer factors of 19280 that divides 19280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 241, 482, 964, 1205, 1928, 2410, 3856, 4820, 9640

Step-4: Factors of 19296

List of positive integer factors of 19296 that divides 19280 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 67, 72, 96, 134, 144, 201, 268, 288, 402, 536, 603, 804, 1072, 1206, 1608, 2144, 2412, 3216, 4824, 6432, 9648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19280 and 19296. The biggest common factor number is the GCF number.
So the greatest common factor 19280 and 19296 is 16.

Also check out the Least Common Multiple of 19280 and 19296