What is the Greatest Common Factor of 97605 and 97620?

Greatest common factor (GCF) of 97605 and 97620 is 15.

GCF(97605,97620) = 15

We will now calculate the prime factors of 97605 and 97620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97605 and 97620.

How to find the GCF of 97605 and 97620?

We will first find the prime factorization of 97605 and 97620. After we will calculate the factors of 97605 and 97620 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 97620

Prime factors of 97620 are 2, 3, 5, 1627. Prime factorization of 97620 in exponential form is:

97620 = 2² × 3¹ × 5¹ × 1627¹

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 97620

List of positive integer factors of 97620 that divides 97605 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1627, 3254, 4881, 6508, 8135, 9762, 16270, 19524, 24405, 32540, 48810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97605 and 97620. The biggest common factor number is the GCF number.
So the greatest common factor 97605 and 97620 is 15.

Also check out the Least Common Multiple of 97605 and 97620