What is the Greatest Common Factor of 97635 and 97641?

Greatest common factor (GCF) of 97635 and 97641 is 3.

GCF(97635,97641) = 3

We will now calculate the prime factors of 97635 and 97641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97635 and 97641.

How to find the GCF of 97635 and 97641?

We will first find the prime factorization of 97635 and 97641. After we will calculate the factors of 97635 and 97641 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 97641

Prime factors of 97641 are 3, 19, 571. Prime factorization of 97641 in exponential form is:

97641 = 3² × 19¹ × 571¹

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 97641

List of positive integer factors of 97641 that divides 97635 without a remainder.

1, 3, 9, 19, 57, 171, 571, 1713, 5139, 10849, 32547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97635 and 97641. The biggest common factor number is the GCF number.
So the greatest common factor 97635 and 97641 is 3.

Also check out the Least Common Multiple of 97635 and 97641