What is the Greatest Common Factor of 97164 and 97182?

Greatest common factor (GCF) of 97164 and 97182 is 18.

GCF(97164,97182) = 18

We will now calculate the prime factors of 97164 and 97182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97164 and 97182.

How to find the GCF of 97164 and 97182?

We will first find the prime factorization of 97164 and 97182. After we will calculate the factors of 97164 and 97182 and find the biggest common factor number .

Step-1: Prime Factorization of 97164

Prime factors of 97164 are 2, 3, 2699. Prime factorization of 97164 in exponential form is:

97164 = 2² × 3² × 2699¹

Step-2: 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-3: Factors of 97164

List of positive integer factors of 97164 that divides 97164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2699, 5398, 8097, 10796, 16194, 24291, 32388, 48582

Step-4: Factors of 97182

List of positive integer factors of 97182 that divides 97164 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97164 and 97182. The biggest common factor number is the GCF number.
So the greatest common factor 97164 and 97182 is 18.

Also check out the Least Common Multiple of 97164 and 97182