What is the Greatest Common Factor of 38350 and 38355?

Greatest common factor (GCF) of 38350 and 38355 is 5.

GCF(38350,38355) = 5

We will now calculate the prime factors of 38350 and 38355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38350 and 38355.

How to find the GCF of 38350 and 38355?

We will first find the prime factorization of 38350 and 38355. After we will calculate the factors of 38350 and 38355 and find the biggest common factor number .

Step-1: Prime Factorization of 38350

Prime factors of 38350 are 2, 5, 13, 59. Prime factorization of 38350 in exponential form is:

38350 = 2¹ × 5² × 13¹ × 59¹

Step-2: 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-3: Factors of 38350

List of positive integer factors of 38350 that divides 38350 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 59, 65, 118, 130, 295, 325, 590, 650, 767, 1475, 1534, 2950, 3835, 7670, 19175

Step-4: Factors of 38355

List of positive integer factors of 38355 that divides 38350 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38350 and 38355. The biggest common factor number is the GCF number.
So the greatest common factor 38350 and 38355 is 5.

Also check out the Least Common Multiple of 38350 and 38355