What is the Greatest Common Factor of 97405 and 97421?

Greatest common factor (GCF) of 97405 and 97421 is 1.

GCF(97405,97421) = 1

We will now calculate the prime factors of 97405 and 97421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97405 and 97421.

How to find the GCF of 97405 and 97421?

We will first find the prime factorization of 97405 and 97421. After we will calculate the factors of 97405 and 97421 and find the biggest common factor number .

Step-1: Prime Factorization of 97405

Prime factors of 97405 are 5, 7, 11, 23. Prime factorization of 97405 in exponential form is:

97405 = 5¹ × 7¹ × 11² × 23¹

Step-2: Prime Factorization of 97421

Prime factors of 97421 are 37, 2633. Prime factorization of 97421 in exponential form is:

97421 = 37¹ × 2633¹

Step-3: Factors of 97405

List of positive integer factors of 97405 that divides 97405 without a remainder.

1, 5, 7, 11, 23, 35, 55, 77, 115, 121, 161, 253, 385, 605, 805, 847, 1265, 1771, 2783, 4235, 8855, 13915, 19481

Step-4: Factors of 97421

List of positive integer factors of 97421 that divides 97405 without a remainder.

1, 37, 2633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97405 and 97421. The biggest common factor number is the GCF number.
So the greatest common factor 97405 and 97421 is 1.

Also check out the Least Common Multiple of 97405 and 97421