What is the Greatest Common Factor of 97275 and 97288?

Greatest common factor (GCF) of 97275 and 97288 is 1.

GCF(97275,97288) = 1

We will now calculate the prime factors of 97275 and 97288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97275 and 97288.

How to find the GCF of 97275 and 97288?

We will first find the prime factorization of 97275 and 97288. After we will calculate the factors of 97275 and 97288 and find the biggest common factor number .

Step-1: Prime Factorization of 97275

Prime factors of 97275 are 3, 5, 1297. Prime factorization of 97275 in exponential form is:

97275 = 3¹ × 5² × 1297¹

Step-2: Prime Factorization of 97288

Prime factors of 97288 are 2, 12161. Prime factorization of 97288 in exponential form is:

97288 = 2³ × 12161¹

Step-3: Factors of 97275

List of positive integer factors of 97275 that divides 97275 without a remainder.

1, 3, 5, 15, 25, 75, 1297, 3891, 6485, 19455, 32425

Step-4: Factors of 97288

List of positive integer factors of 97288 that divides 97275 without a remainder.

1, 2, 4, 8, 12161, 24322, 48644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97275 and 97288. The biggest common factor number is the GCF number.
So the greatest common factor 97275 and 97288 is 1.

Also check out the Least Common Multiple of 97275 and 97288