What is the Greatest Common Factor of 38596 and 38600?

Greatest common factor (GCF) of 38596 and 38600 is 4.

GCF(38596,38600) = 4

We will now calculate the prime factors of 38596 and 38600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38596 and 38600.

How to find the GCF of 38596 and 38600?

We will first find the prime factorization of 38596 and 38600. After we will calculate the factors of 38596 and 38600 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 38600

Prime factors of 38600 are 2, 5, 193. Prime factorization of 38600 in exponential form is:

38600 = 2³ × 5² × 193¹

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 38600

List of positive integer factors of 38600 that divides 38596 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 193, 200, 386, 772, 965, 1544, 1930, 3860, 4825, 7720, 9650, 19300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38596 and 38600. The biggest common factor number is the GCF number.
So the greatest common factor 38596 and 38600 is 4.

Also check out the Least Common Multiple of 38596 and 38600