What is the Greatest Common Factor of 97252 and 97262?

Greatest common factor (GCF) of 97252 and 97262 is 2.

GCF(97252,97262) = 2

We will now calculate the prime factors of 97252 and 97262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97252 and 97262.

How to find the GCF of 97252 and 97262?

We will first find the prime factorization of 97252 and 97262. After we will calculate the factors of 97252 and 97262 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97262

Prime factors of 97262 are 2, 11, 4421. Prime factorization of 97262 in exponential form is:

97262 = 2¹ × 11¹ × 4421¹

Step-3: Factors of 97252

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

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

Step-4: Factors of 97262

List of positive integer factors of 97262 that divides 97252 without a remainder.

1, 2, 11, 22, 4421, 8842, 48631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97252 and 97262. The biggest common factor number is the GCF number.
So the greatest common factor 97252 and 97262 is 2.

Also check out the Least Common Multiple of 97252 and 97262