What is the Greatest Common Factor of 97189 and 97208?

Greatest common factor (GCF) of 97189 and 97208 is 1.

GCF(97189,97208) = 1

We will now calculate the prime factors of 97189 and 97208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97189 and 97208.

How to find the GCF of 97189 and 97208?

We will first find the prime factorization of 97189 and 97208. After we will calculate the factors of 97189 and 97208 and find the biggest common factor number .

Step-1: Prime Factorization of 97189

Prime factors of 97189 are 17, 5717. Prime factorization of 97189 in exponential form is:

97189 = 17¹ × 5717¹

Step-2: 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-3: Factors of 97189

List of positive integer factors of 97189 that divides 97189 without a remainder.

1, 17, 5717

Step-4: Factors of 97208

List of positive integer factors of 97208 that divides 97189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97189 and 97208. The biggest common factor number is the GCF number.
So the greatest common factor 97189 and 97208 is 1.

Also check out the Least Common Multiple of 97189 and 97208