What is the Greatest Common Factor of 19604 and 19608?

Greatest common factor (GCF) of 19604 and 19608 is 4.

GCF(19604,19608) = 4

We will now calculate the prime factors of 19604 and 19608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19604 and 19608.

How to find the GCF of 19604 and 19608?

We will first find the prime factorization of 19604 and 19608. After we will calculate the factors of 19604 and 19608 and find the biggest common factor number .

Step-1: Prime Factorization of 19604

Prime factors of 19604 are 2, 13, 29. Prime factorization of 19604 in exponential form is:

19604 = 2² × 13² × 29¹

Step-2: 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-3: Factors of 19604

List of positive integer factors of 19604 that divides 19604 without a remainder.

1, 2, 4, 13, 26, 29, 52, 58, 116, 169, 338, 377, 676, 754, 1508, 4901, 9802

Step-4: Factors of 19608

List of positive integer factors of 19608 that divides 19604 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19604 and 19608. The biggest common factor number is the GCF number.
So the greatest common factor 19604 and 19608 is 4.

Also check out the Least Common Multiple of 19604 and 19608