What is the Greatest Common Factor of 38114 and 38125?

Greatest common factor (GCF) of 38114 and 38125 is 1.

GCF(38114,38125) = 1

We will now calculate the prime factors of 38114 and 38125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38114 and 38125.

How to find the GCF of 38114 and 38125?

We will first find the prime factorization of 38114 and 38125. After we will calculate the factors of 38114 and 38125 and find the biggest common factor number .

Step-1: Prime Factorization of 38114

Prime factors of 38114 are 2, 17, 19, 59. Prime factorization of 38114 in exponential form is:

38114 = 2¹ × 17¹ × 19¹ × 59¹

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 38114

List of positive integer factors of 38114 that divides 38114 without a remainder.

1, 2, 17, 19, 34, 38, 59, 118, 323, 646, 1003, 1121, 2006, 2242, 19057

Step-4: Factors of 38125

List of positive integer factors of 38125 that divides 38114 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 38114 and 38125. The biggest common factor number is the GCF number.
So the greatest common factor 38114 and 38125 is 1.

Also check out the Least Common Multiple of 38114 and 38125