What is the Greatest Common Factor of 19604 and 19616?

Greatest common factor (GCF) of 19604 and 19616 is 4.

GCF(19604,19616) = 4

We will now calculate the prime factors of 19604 and 19616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19604 and 19616.

How to find the GCF of 19604 and 19616?

We will first find the prime factorization of 19604 and 19616. After we will calculate the factors of 19604 and 19616 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 19616

Prime factors of 19616 are 2, 613. Prime factorization of 19616 in exponential form is:

19616 = 2⁵ × 613¹

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 19616

List of positive integer factors of 19616 that divides 19604 without a remainder.

1, 2, 4, 8, 16, 32, 613, 1226, 2452, 4904, 9808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19604 and 19616. The biggest common factor number is the GCF number.
So the greatest common factor 19604 and 19616 is 4.

Also check out the Least Common Multiple of 19604 and 19616