What is the Greatest Common Factor of 38125 and 38131?

Greatest common factor (GCF) of 38125 and 38131 is 1.

GCF(38125,38131) = 1

We will now calculate the prime factors of 38125 and 38131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38125 and 38131.

How to find the GCF of 38125 and 38131?

We will first find the prime factorization of 38125 and 38131. After we will calculate the factors of 38125 and 38131 and find the biggest common factor number .

Step-1: Prime Factorization of 38125

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

38125 = 5⁴ × 61¹

Step-2: Prime Factorization of 38131

Prime factors of 38131 are 17, 2243. Prime factorization of 38131 in exponential form is:

38131 = 17¹ × 2243¹

Step-3: Factors of 38125

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

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

Step-4: Factors of 38131

List of positive integer factors of 38131 that divides 38125 without a remainder.

1, 17, 2243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38125 and 38131. The biggest common factor number is the GCF number.
So the greatest common factor 38125 and 38131 is 1.

Also check out the Least Common Multiple of 38125 and 38131