What is the Greatest Common Factor of 75697 and 75709?

Greatest common factor (GCF) of 75697 and 75709 is 1.

GCF(75697,75709) = 1

We will now calculate the prime factors of 75697 and 75709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75697 and 75709.

How to find the GCF of 75697 and 75709?

We will first find the prime factorization of 75697 and 75709. After we will calculate the factors of 75697 and 75709 and find the biggest common factor number .

Step-1: Prime Factorization of 75697

Prime factors of 75697 are 59, 1283. Prime factorization of 75697 in exponential form is:

75697 = 59¹ × 1283¹

Step-2: Prime Factorization of 75709

Prime factors of 75709 are 75709. Prime factorization of 75709 in exponential form is:

75709 = 75709¹

Step-3: Factors of 75697

List of positive integer factors of 75697 that divides 75697 without a remainder.

1, 59, 1283

Step-4: Factors of 75709

List of positive integer factors of 75709 that divides 75697 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75697 and 75709. The biggest common factor number is the GCF number.
So the greatest common factor 75697 and 75709 is 1.

Also check out the Least Common Multiple of 75697 and 75709