What is the Greatest Common Factor of 97605 and 97610?

Greatest common factor (GCF) of 97605 and 97610 is 5.

GCF(97605,97610) = 5

We will now calculate the prime factors of 97605 and 97610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97605 and 97610.

How to find the GCF of 97605 and 97610?

We will first find the prime factorization of 97605 and 97610. After we will calculate the factors of 97605 and 97610 and find the biggest common factor number .

Step-1: Prime Factorization of 97605

Prime factors of 97605 are 3, 5, 241. Prime factorization of 97605 in exponential form is:

97605 = 3⁴ × 5¹ × 241¹

Step-2: Prime Factorization of 97610

Prime factors of 97610 are 2, 5, 43, 227. Prime factorization of 97610 in exponential form is:

97610 = 2¹ × 5¹ × 43¹ × 227¹

Step-3: Factors of 97605

List of positive integer factors of 97605 that divides 97605 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 241, 405, 723, 1205, 2169, 3615, 6507, 10845, 19521, 32535

Step-4: Factors of 97610

List of positive integer factors of 97610 that divides 97605 without a remainder.

1, 2, 5, 10, 43, 86, 215, 227, 430, 454, 1135, 2270, 9761, 19522, 48805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97605 and 97610. The biggest common factor number is the GCF number.
So the greatest common factor 97605 and 97610 is 5.

Also check out the Least Common Multiple of 97605 and 97610