What is the Greatest Common Factor of 97995 and 98001?

Greatest common factor (GCF) of 97995 and 98001 is 3.

GCF(97995,98001) = 3

We will now calculate the prime factors of 97995 and 98001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97995 and 98001.

How to find the GCF of 97995 and 98001?

We will first find the prime factorization of 97995 and 98001. After we will calculate the factors of 97995 and 98001 and find the biggest common factor number .

Step-1: Prime Factorization of 97995

Prime factors of 97995 are 3, 5, 47, 139. Prime factorization of 97995 in exponential form is:

97995 = 3¹ × 5¹ × 47¹ × 139¹

Step-2: Prime Factorization of 98001

Prime factors of 98001 are 3, 10889. Prime factorization of 98001 in exponential form is:

98001 = 3² × 10889¹

Step-3: Factors of 97995

List of positive integer factors of 97995 that divides 97995 without a remainder.

1, 3, 5, 15, 47, 139, 141, 235, 417, 695, 705, 2085, 6533, 19599, 32665

Step-4: Factors of 98001

List of positive integer factors of 98001 that divides 97995 without a remainder.

1, 3, 9, 10889, 32667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97995 and 98001. The biggest common factor number is the GCF number.
So the greatest common factor 97995 and 98001 is 3.

Also check out the Least Common Multiple of 97995 and 98001