What is the Greatest Common Factor of 97660 and 97679?

Greatest common factor (GCF) of 97660 and 97679 is 19.

GCF(97660,97679) = 19

We will now calculate the prime factors of 97660 and 97679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97660 and 97679.

How to find the GCF of 97660 and 97679?

We will first find the prime factorization of 97660 and 97679. After we will calculate the factors of 97660 and 97679 and find the biggest common factor number .

Step-1: Prime Factorization of 97660

Prime factors of 97660 are 2, 5, 19, 257. Prime factorization of 97660 in exponential form is:

97660 = 2² × 5¹ × 19¹ × 257¹

Step-2: Prime Factorization of 97679

Prime factors of 97679 are 19, 53, 97. Prime factorization of 97679 in exponential form is:

97679 = 19¹ × 53¹ × 97¹

Step-3: Factors of 97660

List of positive integer factors of 97660 that divides 97660 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 257, 380, 514, 1028, 1285, 2570, 4883, 5140, 9766, 19532, 24415, 48830

Step-4: Factors of 97679

List of positive integer factors of 97679 that divides 97660 without a remainder.

1, 19, 53, 97, 1007, 1843, 5141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97660 and 97679. The biggest common factor number is the GCF number.
So the greatest common factor 97660 and 97679 is 19.

Also check out the Least Common Multiple of 97660 and 97679