What is the Greatest Common Factor of 97635 and 97647?

Greatest common factor (GCF) of 97635 and 97647 is 3.

GCF(97635,97647) = 3

We will now calculate the prime factors of 97635 and 97647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97635 and 97647.

How to find the GCF of 97635 and 97647?

We will first find the prime factorization of 97635 and 97647. After we will calculate the factors of 97635 and 97647 and find the biggest common factor number .

Step-1: Prime Factorization of 97635

Prime factors of 97635 are 3, 5, 23, 283. Prime factorization of 97635 in exponential form is:

97635 = 3¹ × 5¹ × 23¹ × 283¹

Step-2: 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-3: Factors of 97635

List of positive integer factors of 97635 that divides 97635 without a remainder.

1, 3, 5, 15, 23, 69, 115, 283, 345, 849, 1415, 4245, 6509, 19527, 32545

Step-4: Factors of 97647

List of positive integer factors of 97647 that divides 97635 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97635 and 97647. The biggest common factor number is the GCF number.
So the greatest common factor 97635 and 97647 is 3.

Also check out the Least Common Multiple of 97635 and 97647