What is the Greatest Common Factor of 38596 and 38604?

Greatest common factor (GCF) of 38596 and 38604 is 4.

GCF(38596,38604) = 4

We will now calculate the prime factors of 38596 and 38604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38596 and 38604.

How to find the GCF of 38596 and 38604?

We will first find the prime factorization of 38596 and 38604. After we will calculate the factors of 38596 and 38604 and find the biggest common factor number .

Step-1: Prime Factorization of 38596

Prime factors of 38596 are 2, 9649. Prime factorization of 38596 in exponential form is:

38596 = 2² × 9649¹

Step-2: 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-3: Factors of 38596

List of positive integer factors of 38596 that divides 38596 without a remainder.

1, 2, 4, 9649, 19298

Step-4: Factors of 38604

List of positive integer factors of 38604 that divides 38596 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38596 and 38604. The biggest common factor number is the GCF number.
So the greatest common factor 38596 and 38604 is 4.

Also check out the Least Common Multiple of 38596 and 38604