What is the Greatest Common Factor of 38125 and 38141?

Greatest common factor (GCF) of 38125 and 38141 is 1.

GCF(38125,38141) = 1

We will now calculate the prime factors of 38125 and 38141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38125 and 38141.

How to find the GCF of 38125 and 38141?

We will first find the prime factorization of 38125 and 38141. After we will calculate the factors of 38125 and 38141 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 38141

Prime factors of 38141 are 43, 887. Prime factorization of 38141 in exponential form is:

38141 = 43¹ × 887¹

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 38141

List of positive integer factors of 38141 that divides 38125 without a remainder.

1, 43, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38125 and 38141. The biggest common factor number is the GCF number.
So the greatest common factor 38125 and 38141 is 1.

Also check out the Least Common Multiple of 38125 and 38141