What is the Greatest Common Factor of 97182 and 97187?

Greatest common factor (GCF) of 97182 and 97187 is 1.

GCF(97182,97187) = 1

We will now calculate the prime factors of 97182 and 97187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97182 and 97187.

How to find the GCF of 97182 and 97187?

We will first find the prime factorization of 97182 and 97187. After we will calculate the factors of 97182 and 97187 and find the biggest common factor number .

Step-1: Prime Factorization of 97182

Prime factors of 97182 are 2, 3, 5399. Prime factorization of 97182 in exponential form is:

97182 = 2¹ × 3² × 5399¹

Step-2: Prime Factorization of 97187

Prime factors of 97187 are 97187. Prime factorization of 97187 in exponential form is:

97187 = 97187¹

Step-3: Factors of 97182

List of positive integer factors of 97182 that divides 97182 without a remainder.

1, 2, 3, 6, 9, 18, 5399, 10798, 16197, 32394, 48591

Step-4: Factors of 97187

List of positive integer factors of 97187 that divides 97182 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97182 and 97187. The biggest common factor number is the GCF number.
So the greatest common factor 97182 and 97187 is 1.

Also check out the Least Common Multiple of 97182 and 97187