What is the Greatest Common Factor of 35767 and 35771?

Greatest common factor (GCF) of 35767 and 35771 is 1.

GCF(35767,35771) = 1

We will now calculate the prime factors of 35767 and 35771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35767 and 35771.

How to find the GCF of 35767 and 35771?

We will first find the prime factorization of 35767 and 35771. After we will calculate the factors of 35767 and 35771 and find the biggest common factor number .

Step-1: Prime Factorization of 35767

Prime factors of 35767 are 47, 761. Prime factorization of 35767 in exponential form is:

35767 = 47¹ × 761¹

Step-2: Prime Factorization of 35771

Prime factors of 35771 are 35771. Prime factorization of 35771 in exponential form is:

35771 = 35771¹

Step-3: Factors of 35767

List of positive integer factors of 35767 that divides 35767 without a remainder.

1, 47, 761

Step-4: Factors of 35771

List of positive integer factors of 35771 that divides 35767 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35767 and 35771. The biggest common factor number is the GCF number.
So the greatest common factor 35767 and 35771 is 1.

Also check out the Least Common Multiple of 35767 and 35771