What is the Greatest Common Factor of 38125 and 38136?

Greatest common factor (GCF) of 38125 and 38136 is 1.

GCF(38125,38136) = 1

We will now calculate the prime factors of 38125 and 38136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38125 and 38136.

How to find the GCF of 38125 and 38136?

We will first find the prime factorization of 38125 and 38136. After we will calculate the factors of 38125 and 38136 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 38136

Prime factors of 38136 are 2, 3, 7, 227. Prime factorization of 38136 in exponential form is:

38136 = 2³ × 3¹ × 7¹ × 227¹

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 38136

List of positive integer factors of 38136 that divides 38125 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 227, 454, 681, 908, 1362, 1589, 1816, 2724, 3178, 4767, 5448, 6356, 9534, 12712, 19068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38125 and 38136. The biggest common factor number is the GCF number.
So the greatest common factor 38125 and 38136 is 1.

Also check out the Least Common Multiple of 38125 and 38136