What is the Greatest Common Factor of 97168 and 97180?

Greatest common factor (GCF) of 97168 and 97180 is 4.

GCF(97168,97180) = 4

We will now calculate the prime factors of 97168 and 97180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97168 and 97180.

How to find the GCF of 97168 and 97180?

We will first find the prime factorization of 97168 and 97180. After we will calculate the factors of 97168 and 97180 and find the biggest common factor number .

Step-1: Prime Factorization of 97168

Prime factors of 97168 are 2, 6073. Prime factorization of 97168 in exponential form is:

97168 = 2⁴ × 6073¹

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 97168

List of positive integer factors of 97168 that divides 97168 without a remainder.

1, 2, 4, 8, 16, 6073, 12146, 24292, 48584

Step-4: Factors of 97180

List of positive integer factors of 97180 that divides 97168 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 97168 and 97180. The biggest common factor number is the GCF number.
So the greatest common factor 97168 and 97180 is 4.

Also check out the Least Common Multiple of 97168 and 97180