What is the Greatest Common Factor of 39258 and 39271?

Greatest common factor (GCF) of 39258 and 39271 is 1.

GCF(39258,39271) = 1

We will now calculate the prime factors of 39258 and 39271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39258 and 39271.

How to find the GCF of 39258 and 39271?

We will first find the prime factorization of 39258 and 39271. After we will calculate the factors of 39258 and 39271 and find the biggest common factor number .

Step-1: Prime Factorization of 39258

Prime factors of 39258 are 2, 3, 727. Prime factorization of 39258 in exponential form is:

39258 = 2¹ × 3³ × 727¹

Step-2: Prime Factorization of 39271

Prime factors of 39271 are 173, 227. Prime factorization of 39271 in exponential form is:

39271 = 173¹ × 227¹

Step-3: Factors of 39258

List of positive integer factors of 39258 that divides 39258 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 727, 1454, 2181, 4362, 6543, 13086, 19629

Step-4: Factors of 39271

List of positive integer factors of 39271 that divides 39258 without a remainder.

1, 173, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39258 and 39271. The biggest common factor number is the GCF number.
So the greatest common factor 39258 and 39271 is 1.

Also check out the Least Common Multiple of 39258 and 39271