What is the Greatest Common Factor of 75687 and 75707?

Greatest common factor (GCF) of 75687 and 75707 is 1.

GCF(75687,75707) = 1

We will now calculate the prime factors of 75687 and 75707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75687 and 75707.

How to find the GCF of 75687 and 75707?

We will first find the prime factorization of 75687 and 75707. After we will calculate the factors of 75687 and 75707 and find the biggest common factor number .

Step-1: Prime Factorization of 75687

Prime factors of 75687 are 3, 25229. Prime factorization of 75687 in exponential form is:

75687 = 3¹ × 25229¹

Step-2: Prime Factorization of 75707

Prime factors of 75707 are 75707. Prime factorization of 75707 in exponential form is:

75707 = 75707¹

Step-3: Factors of 75687

List of positive integer factors of 75687 that divides 75687 without a remainder.

1, 3, 25229

Step-4: Factors of 75707

List of positive integer factors of 75707 that divides 75687 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75687 and 75707. The biggest common factor number is the GCF number.
So the greatest common factor 75687 and 75707 is 1.

Also check out the Least Common Multiple of 75687 and 75707