What is the Greatest Common Factor of 97892 and 97897?

Greatest common factor (GCF) of 97892 and 97897 is 1.

GCF(97892,97897) = 1

We will now calculate the prime factors of 97892 and 97897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97892 and 97897.

How to find the GCF of 97892 and 97897?

We will first find the prime factorization of 97892 and 97897. After we will calculate the factors of 97892 and 97897 and find the biggest common factor number .

Step-1: Prime Factorization of 97892

Prime factors of 97892 are 2, 24473. Prime factorization of 97892 in exponential form is:

97892 = 2² × 24473¹

Step-2: Prime Factorization of 97897

Prime factors of 97897 are 223, 439. Prime factorization of 97897 in exponential form is:

97897 = 223¹ × 439¹

Step-3: Factors of 97892

List of positive integer factors of 97892 that divides 97892 without a remainder.

1, 2, 4, 24473, 48946

Step-4: Factors of 97897

List of positive integer factors of 97897 that divides 97892 without a remainder.

1, 223, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97892 and 97897. The biggest common factor number is the GCF number.
So the greatest common factor 97892 and 97897 is 1.

Also check out the Least Common Multiple of 97892 and 97897