What is the Greatest Common Factor of 97134 and 97148?

Greatest common factor (GCF) of 97134 and 97148 is 2.

GCF(97134,97148) = 2

We will now calculate the prime factors of 97134 and 97148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97134 and 97148.

How to find the GCF of 97134 and 97148?

We will first find the prime factorization of 97134 and 97148. After we will calculate the factors of 97134 and 97148 and find the biggest common factor number .

Step-1: Prime Factorization of 97134

Prime factors of 97134 are 2, 3, 16189. Prime factorization of 97134 in exponential form is:

97134 = 2¹ × 3¹ × 16189¹

Step-2: Prime Factorization of 97148

Prime factors of 97148 are 2, 149, 163. Prime factorization of 97148 in exponential form is:

97148 = 2² × 149¹ × 163¹

Step-3: Factors of 97134

List of positive integer factors of 97134 that divides 97134 without a remainder.

1, 2, 3, 6, 16189, 32378, 48567

Step-4: Factors of 97148

List of positive integer factors of 97148 that divides 97134 without a remainder.

1, 2, 4, 149, 163, 298, 326, 596, 652, 24287, 48574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97134 and 97148. The biggest common factor number is the GCF number.
So the greatest common factor 97134 and 97148 is 2.

Also check out the Least Common Multiple of 97134 and 97148