What is the Greatest Common Factor of 97405 and 97420?

Greatest common factor (GCF) of 97405 and 97420 is 5.

GCF(97405,97420) = 5

We will now calculate the prime factors of 97405 and 97420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97405 and 97420.

How to find the GCF of 97405 and 97420?

We will first find the prime factorization of 97405 and 97420. After we will calculate the factors of 97405 and 97420 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 97420

Prime factors of 97420 are 2, 5, 4871. Prime factorization of 97420 in exponential form is:

97420 = 2² × 5¹ × 4871¹

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 97420

List of positive integer factors of 97420 that divides 97405 without a remainder.

1, 2, 4, 5, 10, 20, 4871, 9742, 19484, 24355, 48710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97405 and 97420. The biggest common factor number is the GCF number.
So the greatest common factor 97405 and 97420 is 5.

Also check out the Least Common Multiple of 97405 and 97420