What is the Greatest Common Factor of 38050 and 38055?

Greatest common factor (GCF) of 38050 and 38055 is 5.

GCF(38050,38055) = 5

We will now calculate the prime factors of 38050 and 38055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38050 and 38055.

How to find the GCF of 38050 and 38055?

We will first find the prime factorization of 38050 and 38055. After we will calculate the factors of 38050 and 38055 and find the biggest common factor number .

Step-1: Prime Factorization of 38050

Prime factors of 38050 are 2, 5, 761. Prime factorization of 38050 in exponential form is:

38050 = 2¹ × 5² × 761¹

Step-2: Prime Factorization of 38055

Prime factors of 38055 are 3, 5, 43, 59. Prime factorization of 38055 in exponential form is:

38055 = 3¹ × 5¹ × 43¹ × 59¹

Step-3: Factors of 38050

List of positive integer factors of 38050 that divides 38050 without a remainder.

1, 2, 5, 10, 25, 50, 761, 1522, 3805, 7610, 19025

Step-4: Factors of 38055

List of positive integer factors of 38055 that divides 38050 without a remainder.

1, 3, 5, 15, 43, 59, 129, 177, 215, 295, 645, 885, 2537, 7611, 12685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38050 and 38055. The biggest common factor number is the GCF number.
So the greatest common factor 38050 and 38055 is 5.

Also check out the Least Common Multiple of 38050 and 38055