What is the Greatest Common Factor of 75256 and 75271?

Greatest common factor (GCF) of 75256 and 75271 is 1.

GCF(75256,75271) = 1

We will now calculate the prime factors of 75256 and 75271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75256 and 75271.

How to find the GCF of 75256 and 75271?

We will first find the prime factorization of 75256 and 75271. After we will calculate the factors of 75256 and 75271 and find the biggest common factor number .

Step-1: Prime Factorization of 75256

Prime factors of 75256 are 2, 23, 409. Prime factorization of 75256 in exponential form is:

75256 = 2³ × 23¹ × 409¹

Step-2: Prime Factorization of 75271

Prime factors of 75271 are 7, 10753. Prime factorization of 75271 in exponential form is:

75271 = 7¹ × 10753¹

Step-3: Factors of 75256

List of positive integer factors of 75256 that divides 75256 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 409, 818, 1636, 3272, 9407, 18814, 37628

Step-4: Factors of 75271

List of positive integer factors of 75271 that divides 75256 without a remainder.

1, 7, 10753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75256 and 75271. The biggest common factor number is the GCF number.
So the greatest common factor 75256 and 75271 is 1.

Also check out the Least Common Multiple of 75256 and 75271