What is the Greatest Common Factor of 97764 and 97771?

Greatest common factor (GCF) of 97764 and 97771 is 1.

GCF(97764,97771) = 1

We will now calculate the prime factors of 97764 and 97771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97764 and 97771.

How to find the GCF of 97764 and 97771?

We will first find the prime factorization of 97764 and 97771. After we will calculate the factors of 97764 and 97771 and find the biggest common factor number .

Step-1: Prime Factorization of 97764

Prime factors of 97764 are 2, 3, 8147. Prime factorization of 97764 in exponential form is:

97764 = 2² × 3¹ × 8147¹

Step-2: Prime Factorization of 97771

Prime factors of 97771 are 97771. Prime factorization of 97771 in exponential form is:

97771 = 97771¹

Step-3: Factors of 97764

List of positive integer factors of 97764 that divides 97764 without a remainder.

1, 2, 3, 4, 6, 12, 8147, 16294, 24441, 32588, 48882

Step-4: Factors of 97771

List of positive integer factors of 97771 that divides 97764 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97764 and 97771. The biggest common factor number is the GCF number.
So the greatest common factor 97764 and 97771 is 1.

Also check out the Least Common Multiple of 97764 and 97771