What is the Greatest Common Factor of 19608 and 19626?

Greatest common factor (GCF) of 19608 and 19626 is 6.

GCF(19608,19626) = 6

We will now calculate the prime factors of 19608 and 19626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19608 and 19626.

How to find the GCF of 19608 and 19626?

We will first find the prime factorization of 19608 and 19626. After we will calculate the factors of 19608 and 19626 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 19626

Prime factors of 19626 are 2, 3, 3271. Prime factorization of 19626 in exponential form is:

19626 = 2¹ × 3¹ × 3271¹

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 19626

List of positive integer factors of 19626 that divides 19608 without a remainder.

1, 2, 3, 6, 3271, 6542, 9813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19608 and 19626. The biggest common factor number is the GCF number.
So the greatest common factor 19608 and 19626 is 6.

Also check out the Least Common Multiple of 19608 and 19626