What is the Greatest Common Factor of 19608 and 19623?

Greatest common factor (GCF) of 19608 and 19623 is 3.

GCF(19608,19623) = 3

We will now calculate the prime factors of 19608 and 19623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19608 and 19623.

How to find the GCF of 19608 and 19623?

We will first find the prime factorization of 19608 and 19623. After we will calculate the factors of 19608 and 19623 and find the biggest common factor number .

Step-1: Prime Factorization of 19608

Prime factors of 19608 are 2, 3, 19, 43. Prime factorization of 19608 in exponential form is:

19608 = 2³ × 3¹ × 19¹ × 43¹

Step-2: Prime Factorization of 19623

Prime factors of 19623 are 3, 31, 211. Prime factorization of 19623 in exponential form is:

19623 = 3¹ × 31¹ × 211¹

Step-3: Factors of 19608

List of positive integer factors of 19608 that divides 19608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 43, 57, 76, 86, 114, 129, 152, 172, 228, 258, 344, 456, 516, 817, 1032, 1634, 2451, 3268, 4902, 6536, 9804

Step-4: Factors of 19623

List of positive integer factors of 19623 that divides 19608 without a remainder.

1, 3, 31, 93, 211, 633, 6541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19608 and 19623. The biggest common factor number is the GCF number.
So the greatest common factor 19608 and 19623 is 3.

Also check out the Least Common Multiple of 19608 and 19623