What is the Greatest Common Factor of 97161 and 97168?

Greatest common factor (GCF) of 97161 and 97168 is 1.

GCF(97161,97168) = 1

We will now calculate the prime factors of 97161 and 97168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97161 and 97168.

How to find the GCF of 97161 and 97168?

We will first find the prime factorization of 97161 and 97168. After we will calculate the factors of 97161 and 97168 and find the biggest common factor number .

Step-1: Prime Factorization of 97161

Prime factors of 97161 are 3, 139, 233. Prime factorization of 97161 in exponential form is:

97161 = 3¹ × 139¹ × 233¹

Step-2: Prime Factorization of 97168

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

97168 = 2⁴ × 6073¹

Step-3: Factors of 97161

List of positive integer factors of 97161 that divides 97161 without a remainder.

1, 3, 139, 233, 417, 699, 32387

Step-4: Factors of 97168

List of positive integer factors of 97168 that divides 97161 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97161 and 97168. The biggest common factor number is the GCF number.
So the greatest common factor 97161 and 97168 is 1.

Also check out the Least Common Multiple of 97161 and 97168