What is the Greatest Common Factor of 38180 and 38185?

Greatest common factor (GCF) of 38180 and 38185 is 5.

GCF(38180,38185) = 5

We will now calculate the prime factors of 38180 and 38185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38180 and 38185.

How to find the GCF of 38180 and 38185?

We will first find the prime factorization of 38180 and 38185. After we will calculate the factors of 38180 and 38185 and find the biggest common factor number .

Step-1: Prime Factorization of 38180

Prime factors of 38180 are 2, 5, 23, 83. Prime factorization of 38180 in exponential form is:

38180 = 2² × 5¹ × 23¹ × 83¹

Step-2: Prime Factorization of 38185

Prime factors of 38185 are 5, 7, 1091. Prime factorization of 38185 in exponential form is:

38185 = 5¹ × 7¹ × 1091¹

Step-3: Factors of 38180

List of positive integer factors of 38180 that divides 38180 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 83, 92, 115, 166, 230, 332, 415, 460, 830, 1660, 1909, 3818, 7636, 9545, 19090

Step-4: Factors of 38185

List of positive integer factors of 38185 that divides 38180 without a remainder.

1, 5, 7, 35, 1091, 5455, 7637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38180 and 38185. The biggest common factor number is the GCF number.
So the greatest common factor 38180 and 38185 is 5.

Also check out the Least Common Multiple of 38180 and 38185