What is the Greatest Common Factor of 97238 and 97252?

Greatest common factor (GCF) of 97238 and 97252 is 2.

GCF(97238,97252) = 2

We will now calculate the prime factors of 97238 and 97252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97238 and 97252.

How to find the GCF of 97238 and 97252?

We will first find the prime factorization of 97238 and 97252. After we will calculate the factors of 97238 and 97252 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 97252

Prime factors of 97252 are 2, 41, 593. Prime factorization of 97252 in exponential form is:

97252 = 2² × 41¹ × 593¹

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 97252

List of positive integer factors of 97252 that divides 97238 without a remainder.

1, 2, 4, 41, 82, 164, 593, 1186, 2372, 24313, 48626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97238 and 97252. The biggest common factor number is the GCF number.
So the greatest common factor 97238 and 97252 is 2.

Also check out the Least Common Multiple of 97238 and 97252