What is the Greatest Common Factor of 97201 and 97214?

Greatest common factor (GCF) of 97201 and 97214 is 13.

GCF(97201,97214) = 13

We will now calculate the prime factors of 97201 and 97214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97201 and 97214.

How to find the GCF of 97201 and 97214?

We will first find the prime factorization of 97201 and 97214. After we will calculate the factors of 97201 and 97214 and find the biggest common factor number .

Step-1: Prime Factorization of 97201

Prime factors of 97201 are 13, 7477. Prime factorization of 97201 in exponential form is:

97201 = 13¹ × 7477¹

Step-2: Prime Factorization of 97214

Prime factors of 97214 are 2, 13, 3739. Prime factorization of 97214 in exponential form is:

97214 = 2¹ × 13¹ × 3739¹

Step-3: Factors of 97201

List of positive integer factors of 97201 that divides 97201 without a remainder.

1, 13, 7477

Step-4: Factors of 97214

List of positive integer factors of 97214 that divides 97201 without a remainder.

1, 2, 13, 26, 3739, 7478, 48607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97201 and 97214. The biggest common factor number is the GCF number.
So the greatest common factor 97201 and 97214 is 13.

Also check out the Least Common Multiple of 97201 and 97214