What is the Greatest Common Factor of 75698 and 75707?

Greatest common factor (GCF) of 75698 and 75707 is 1.

GCF(75698,75707) = 1

We will now calculate the prime factors of 75698 and 75707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75698 and 75707.

How to find the GCF of 75698 and 75707?

We will first find the prime factorization of 75698 and 75707. After we will calculate the factors of 75698 and 75707 and find the biggest common factor number .

Step-1: Prime Factorization of 75698

Prime factors of 75698 are 2, 7, 5407. Prime factorization of 75698 in exponential form is:

75698 = 2¹ × 7¹ × 5407¹

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 75698

List of positive integer factors of 75698 that divides 75698 without a remainder.

1, 2, 7, 14, 5407, 10814, 37849

Step-4: Factors of 75707

List of positive integer factors of 75707 that divides 75698 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75698 and 75707. The biggest common factor number is the GCF number.
So the greatest common factor 75698 and 75707 is 1.

Also check out the Least Common Multiple of 75698 and 75707