What is the Greatest Common Factor of 97170 and 97180?

Greatest common factor (GCF) of 97170 and 97180 is 10.

GCF(97170,97180) = 10

We will now calculate the prime factors of 97170 and 97180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97170 and 97180.

How to find the GCF of 97170 and 97180?

We will first find the prime factorization of 97170 and 97180. After we will calculate the factors of 97170 and 97180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97180

Prime factors of 97180 are 2, 5, 43, 113. Prime factorization of 97180 in exponential form is:

97180 = 2² × 5¹ × 43¹ × 113¹

Step-3: Factors of 97170

List of positive integer factors of 97170 that divides 97170 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

Step-4: Factors of 97180

List of positive integer factors of 97180 that divides 97170 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 113, 172, 215, 226, 430, 452, 565, 860, 1130, 2260, 4859, 9718, 19436, 24295, 48590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97170 and 97180. The biggest common factor number is the GCF number.
So the greatest common factor 97170 and 97180 is 10.

Also check out the Least Common Multiple of 97170 and 97180