What is the Greatest Common Factor of 97148 and 97158?

Greatest common factor (GCF) of 97148 and 97158 is 2.

GCF(97148,97158) = 2

We will now calculate the prime factors of 97148 and 97158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97148 and 97158.

How to find the GCF of 97148 and 97158?

We will first find the prime factorization of 97148 and 97158. After we will calculate the factors of 97148 and 97158 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97158

Prime factors of 97158 are 2, 3, 16193. Prime factorization of 97158 in exponential form is:

97158 = 2¹ × 3¹ × 16193¹

Step-3: Factors of 97148

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

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

Step-4: Factors of 97158

List of positive integer factors of 97158 that divides 97148 without a remainder.

1, 2, 3, 6, 16193, 32386, 48579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97148 and 97158. The biggest common factor number is the GCF number.
So the greatest common factor 97148 and 97158 is 2.

Also check out the Least Common Multiple of 97148 and 97158