What is the Greatest Common Factor of 38360 and 38365?

Greatest common factor (GCF) of 38360 and 38365 is 5.

GCF(38360,38365) = 5

We will now calculate the prime factors of 38360 and 38365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38360 and 38365.

How to find the GCF of 38360 and 38365?

We will first find the prime factorization of 38360 and 38365. After we will calculate the factors of 38360 and 38365 and find the biggest common factor number .

Step-1: Prime Factorization of 38360

Prime factors of 38360 are 2, 5, 7, 137. Prime factorization of 38360 in exponential form is:

38360 = 2³ × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 38365

Prime factors of 38365 are 5, 7673. Prime factorization of 38365 in exponential form is:

38365 = 5¹ × 7673¹

Step-3: Factors of 38360

List of positive integer factors of 38360 that divides 38360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 137, 140, 274, 280, 548, 685, 959, 1096, 1370, 1918, 2740, 3836, 4795, 5480, 7672, 9590, 19180

Step-4: Factors of 38365

List of positive integer factors of 38365 that divides 38360 without a remainder.

1, 5, 7673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38360 and 38365. The biggest common factor number is the GCF number.
So the greatest common factor 38360 and 38365 is 5.

Also check out the Least Common Multiple of 38360 and 38365