What is the Greatest Common Factor of 97164 and 97170?

Greatest common factor (GCF) of 97164 and 97170 is 6.

GCF(97164,97170) = 6

We will now calculate the prime factors of 97164 and 97170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97164 and 97170.

How to find the GCF of 97164 and 97170?

We will first find the prime factorization of 97164 and 97170. After we will calculate the factors of 97164 and 97170 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 97170

Prime factors of 97170 are 2, 3, 5, 41, 79. Prime factorization of 97170 in exponential form is:

97170 = 2¹ × 3¹ × 5¹ × 41¹ × 79¹

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 97170

List of positive integer factors of 97170 that divides 97164 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 79, 82, 123, 158, 205, 237, 246, 395, 410, 474, 615, 790, 1185, 1230, 2370, 3239, 6478, 9717, 16195, 19434, 32390, 48585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97164 and 97170. The biggest common factor number is the GCF number.
So the greatest common factor 97164 and 97170 is 6.

Also check out the Least Common Multiple of 97164 and 97170