What is the Greatest Common Factor of 38355 and 38360?

Greatest common factor (GCF) of 38355 and 38360 is 5.

GCF(38355,38360) = 5

We will now calculate the prime factors of 38355 and 38360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38355 and 38360.

How to find the GCF of 38355 and 38360?

We will first find the prime factorization of 38355 and 38360. After we will calculate the factors of 38355 and 38360 and find the biggest common factor number .

Step-1: Prime Factorization of 38355

Prime factors of 38355 are 3, 5, 2557. Prime factorization of 38355 in exponential form is:

38355 = 3¹ × 5¹ × 2557¹

Step-2: 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-3: Factors of 38355

List of positive integer factors of 38355 that divides 38355 without a remainder.

1, 3, 5, 15, 2557, 7671, 12785

Step-4: Factors of 38360

List of positive integer factors of 38360 that divides 38355 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38355 and 38360. The biggest common factor number is the GCF number.
So the greatest common factor 38355 and 38360 is 5.

Also check out the Least Common Multiple of 38355 and 38360