What is the Greatest Common Factor of 97983 and 97995?

Greatest common factor (GCF) of 97983 and 97995 is 3.

GCF(97983,97995) = 3

We will now calculate the prime factors of 97983 and 97995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97983 and 97995.

How to find the GCF of 97983 and 97995?

We will first find the prime factorization of 97983 and 97995. After we will calculate the factors of 97983 and 97995 and find the biggest common factor number .

Step-1: Prime Factorization of 97983

Prime factors of 97983 are 3, 19, 191. Prime factorization of 97983 in exponential form is:

97983 = 3³ × 19¹ × 191¹

Step-2: 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-3: Factors of 97983

List of positive integer factors of 97983 that divides 97983 without a remainder.

1, 3, 9, 19, 27, 57, 171, 191, 513, 573, 1719, 3629, 5157, 10887, 32661

Step-4: Factors of 97995

List of positive integer factors of 97995 that divides 97983 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97983 and 97995. The biggest common factor number is the GCF number.
So the greatest common factor 97983 and 97995 is 3.

Also check out the Least Common Multiple of 97983 and 97995