What is the Greatest Common Factor of 97208 and 97214?

Greatest common factor (GCF) of 97208 and 97214 is 2.

GCF(97208,97214) = 2

We will now calculate the prime factors of 97208 and 97214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97208 and 97214.

How to find the GCF of 97208 and 97214?

We will first find the prime factorization of 97208 and 97214. After we will calculate the factors of 97208 and 97214 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 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 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 97214

List of positive integer factors of 97214 that divides 97208 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97208 and 97214. The biggest common factor number is the GCF number.
So the greatest common factor 97208 and 97214 is 2.

Also check out the Least Common Multiple of 97208 and 97214