What is the Greatest Common Factor of 97655 and 97660?

Greatest common factor (GCF) of 97655 and 97660 is 5.

GCF(97655,97660) = 5

We will now calculate the prime factors of 97655 and 97660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97655 and 97660.

How to find the GCF of 97655 and 97660?

We will first find the prime factorization of 97655 and 97660. After we will calculate the factors of 97655 and 97660 and find the biggest common factor number .

Step-1: Prime Factorization of 97655

Prime factors of 97655 are 5, 19531. Prime factorization of 97655 in exponential form is:

97655 = 5¹ × 19531¹

Step-2: 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-3: Factors of 97655

List of positive integer factors of 97655 that divides 97655 without a remainder.

1, 5, 19531

Step-4: Factors of 97660

List of positive integer factors of 97660 that divides 97655 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97655 and 97660. The biggest common factor number is the GCF number.
So the greatest common factor 97655 and 97660 is 5.

Also check out the Least Common Multiple of 97655 and 97660