What is the Greatest Common Factor of 97647 and 97658?

Greatest common factor (GCF) of 97647 and 97658 is 11.

GCF(97647,97658) = 11

We will now calculate the prime factors of 97647 and 97658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97647 and 97658.

How to find the GCF of 97647 and 97658?

We will first find the prime factorization of 97647 and 97658. After we will calculate the factors of 97647 and 97658 and find the biggest common factor number .

Step-1: Prime Factorization of 97647

Prime factors of 97647 are 3, 11, 269. Prime factorization of 97647 in exponential form is:

97647 = 3¹ × 11² × 269¹

Step-2: Prime Factorization of 97658

Prime factors of 97658 are 2, 11, 23, 193. Prime factorization of 97658 in exponential form is:

97658 = 2¹ × 11¹ × 23¹ × 193¹

Step-3: Factors of 97647

List of positive integer factors of 97647 that divides 97647 without a remainder.

1, 3, 11, 33, 121, 269, 363, 807, 2959, 8877, 32549

Step-4: Factors of 97658

List of positive integer factors of 97658 that divides 97647 without a remainder.

1, 2, 11, 22, 23, 46, 193, 253, 386, 506, 2123, 4246, 4439, 8878, 48829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97647 and 97658. The biggest common factor number is the GCF number.
So the greatest common factor 97647 and 97658 is 11.

Also check out the Least Common Multiple of 97647 and 97658