What is the Greatest Common Factor of 19608 and 19615?

Greatest common factor (GCF) of 19608 and 19615 is 1.

GCF(19608,19615) = 1

We will now calculate the prime factors of 19608 and 19615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19608 and 19615.

How to find the GCF of 19608 and 19615?

We will first find the prime factorization of 19608 and 19615. After we will calculate the factors of 19608 and 19615 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 19615

Prime factors of 19615 are 5, 3923. Prime factorization of 19615 in exponential form is:

19615 = 5¹ × 3923¹

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 19615

List of positive integer factors of 19615 that divides 19608 without a remainder.

1, 5, 3923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19608 and 19615. The biggest common factor number is the GCF number.
So the greatest common factor 19608 and 19615 is 1.

Also check out the Least Common Multiple of 19608 and 19615