What is the Greatest Common Factor of 35791 and 35809?

Greatest common factor (GCF) of 35791 and 35809 is 1.

GCF(35791,35809) = 1

We will now calculate the prime factors of 35791 and 35809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35791 and 35809.

How to find the GCF of 35791 and 35809?

We will first find the prime factorization of 35791 and 35809. After we will calculate the factors of 35791 and 35809 and find the biggest common factor number .

Step-1: Prime Factorization of 35791

Prime factors of 35791 are 7, 5113. Prime factorization of 35791 in exponential form is:

35791 = 7¹ × 5113¹

Step-2: Prime Factorization of 35809

Prime factors of 35809 are 35809. Prime factorization of 35809 in exponential form is:

35809 = 35809¹

Step-3: Factors of 35791

List of positive integer factors of 35791 that divides 35791 without a remainder.

1, 7, 5113

Step-4: Factors of 35809

List of positive integer factors of 35809 that divides 35791 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35791 and 35809. The biggest common factor number is the GCF number.
So the greatest common factor 35791 and 35809 is 1.

Also check out the Least Common Multiple of 35791 and 35809