What is the Greatest Common Factor of 38596 and 38616?

Greatest common factor (GCF) of 38596 and 38616 is 4.

GCF(38596,38616) = 4

We will now calculate the prime factors of 38596 and 38616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38596 and 38616.

How to find the GCF of 38596 and 38616?

We will first find the prime factorization of 38596 and 38616. After we will calculate the factors of 38596 and 38616 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 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 38596

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

1, 2, 4, 9649, 19298

Step-4: Factors of 38616

List of positive integer factors of 38616 that divides 38596 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 38596 and 38616. The biggest common factor number is the GCF number.
So the greatest common factor 38596 and 38616 is 4.

Also check out the Least Common Multiple of 38596 and 38616