What is the Greatest Common Factor of 97208 and 97213?

Greatest common factor (GCF) of 97208 and 97213 is 1.

GCF(97208,97213) = 1

We will now calculate the prime factors of 97208 and 97213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97208 and 97213.

How to find the GCF of 97208 and 97213?

We will first find the prime factorization of 97208 and 97213. After we will calculate the factors of 97208 and 97213 and find the biggest common factor number .

Step-1: Prime Factorization of 97208

Prime factors of 97208 are 2, 29, 419. Prime factorization of 97208 in exponential form is:

97208 = 2³ × 29¹ × 419¹

Step-2: Prime Factorization of 97213

Prime factors of 97213 are 97213. Prime factorization of 97213 in exponential form is:

97213 = 97213¹

Step-3: Factors of 97208

List of positive integer factors of 97208 that divides 97208 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 419, 838, 1676, 3352, 12151, 24302, 48604

Step-4: Factors of 97213

List of positive integer factors of 97213 that divides 97208 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97208 and 97213. The biggest common factor number is the GCF number.
So the greatest common factor 97208 and 97213 is 1.

Also check out the Least Common Multiple of 97208 and 97213