What is the Greatest Common Factor of 97641 and 97649?

Greatest common factor (GCF) of 97641 and 97649 is 1.

GCF(97641,97649) = 1

We will now calculate the prime factors of 97641 and 97649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97641 and 97649.

How to find the GCF of 97641 and 97649?

We will first find the prime factorization of 97641 and 97649. After we will calculate the factors of 97641 and 97649 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97649

Prime factors of 97649 are 97649. Prime factorization of 97649 in exponential form is:

97649 = 97649¹

Step-3: Factors of 97641

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

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

Step-4: Factors of 97649

List of positive integer factors of 97649 that divides 97641 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97641 and 97649. The biggest common factor number is the GCF number.
So the greatest common factor 97641 and 97649 is 1.

Also check out the Least Common Multiple of 97641 and 97649