What is the Greatest Common Factor of 97388 and 97405?

Greatest common factor (GCF) of 97388 and 97405 is 1.

GCF(97388,97405) = 1

We will now calculate the prime factors of 97388 and 97405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97388 and 97405.

How to find the GCF of 97388 and 97405?

We will first find the prime factorization of 97388 and 97405. After we will calculate the factors of 97388 and 97405 and find the biggest common factor number .

Step-1: Prime Factorization of 97388

Prime factors of 97388 are 2, 97, 251. Prime factorization of 97388 in exponential form is:

97388 = 2² × 97¹ × 251¹

Step-2: 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-3: Factors of 97388

List of positive integer factors of 97388 that divides 97388 without a remainder.

1, 2, 4, 97, 194, 251, 388, 502, 1004, 24347, 48694

Step-4: Factors of 97405

List of positive integer factors of 97405 that divides 97388 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97388 and 97405. The biggest common factor number is the GCF number.
So the greatest common factor 97388 and 97405 is 1.

Also check out the Least Common Multiple of 97388 and 97405