What is the Greatest Common Factor of 38108 and 38125?

Greatest common factor (GCF) of 38108 and 38125 is 1.

GCF(38108,38125) = 1

We will now calculate the prime factors of 38108 and 38125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38108 and 38125.

How to find the GCF of 38108 and 38125?

We will first find the prime factorization of 38108 and 38125. After we will calculate the factors of 38108 and 38125 and find the biggest common factor number .

Step-1: Prime Factorization of 38108

Prime factors of 38108 are 2, 7, 1361. Prime factorization of 38108 in exponential form is:

38108 = 2² × 7¹ × 1361¹

Step-2: Prime Factorization of 38125

Prime factors of 38125 are 5, 61. Prime factorization of 38125 in exponential form is:

38125 = 5⁴ × 61¹

Step-3: Factors of 38108

List of positive integer factors of 38108 that divides 38108 without a remainder.

1, 2, 4, 7, 14, 28, 1361, 2722, 5444, 9527, 19054

Step-4: Factors of 38125

List of positive integer factors of 38125 that divides 38108 without a remainder.

1, 5, 25, 61, 125, 305, 625, 1525, 7625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38108 and 38125. The biggest common factor number is the GCF number.
So the greatest common factor 38108 and 38125 is 1.

Also check out the Least Common Multiple of 38108 and 38125