What is the Greatest Common Factor of 38604 and 38616?

Greatest common factor (GCF) of 38604 and 38616 is 12.

GCF(38604,38616) = 12

We will now calculate the prime factors of 38604 and 38616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38604 and 38616.

How to find the GCF of 38604 and 38616?

We will first find the prime factorization of 38604 and 38616. After we will calculate the factors of 38604 and 38616 and find the biggest common factor number .

Step-1: Prime Factorization of 38604

Prime factors of 38604 are 2, 3, 3217. Prime factorization of 38604 in exponential form is:

38604 = 2² × 3¹ × 3217¹

Step-2: Prime Factorization of 38616

Prime factors of 38616 are 2, 3, 1609. Prime factorization of 38616 in exponential form is:

38616 = 2³ × 3¹ × 1609¹

Step-3: Factors of 38604

List of positive integer factors of 38604 that divides 38604 without a remainder.

1, 2, 3, 4, 6, 12, 3217, 6434, 9651, 12868, 19302

Step-4: Factors of 38616

List of positive integer factors of 38616 that divides 38604 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1609, 3218, 4827, 6436, 9654, 12872, 19308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38604 and 38616. The biggest common factor number is the GCF number.
So the greatest common factor 38604 and 38616 is 12.

Also check out the Least Common Multiple of 38604 and 38616