What is the Greatest Common Factor of 97238 and 97256?

Greatest common factor (GCF) of 97238 and 97256 is 2.

GCF(97238,97256) = 2

We will now calculate the prime factors of 97238 and 97256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97238 and 97256.

How to find the GCF of 97238 and 97256?

We will first find the prime factorization of 97238 and 97256. After we will calculate the factors of 97238 and 97256 and find the biggest common factor number .

Step-1: Prime Factorization of 97238

Prime factors of 97238 are 2, 48619. Prime factorization of 97238 in exponential form is:

97238 = 2¹ × 48619¹

Step-2: Prime Factorization of 97256

Prime factors of 97256 are 2, 12157. Prime factorization of 97256 in exponential form is:

97256 = 2³ × 12157¹

Step-3: Factors of 97238

List of positive integer factors of 97238 that divides 97238 without a remainder.

1, 2, 48619

Step-4: Factors of 97256

List of positive integer factors of 97256 that divides 97238 without a remainder.

1, 2, 4, 8, 12157, 24314, 48628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97238 and 97256. The biggest common factor number is the GCF number.
So the greatest common factor 97238 and 97256 is 2.

Also check out the Least Common Multiple of 97238 and 97256