What is the Greatest Common Factor of 9196 and 9201?

Greatest common factor (GCF) of 9196 and 9201 is 1.

GCF(9196,9201) = 1

We will now calculate the prime factors of 9196 and 9201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9196 and 9201.

How to find the GCF of 9196 and 9201?

We will first find the prime factorization of 9196 and 9201. After we will calculate the factors of 9196 and 9201 and find the biggest common factor number .

Step-1: Prime Factorization of 9196

Prime factors of 9196 are 2, 11, 19. Prime factorization of 9196 in exponential form is:

9196 = 2² × 11² × 19¹

Step-2: Prime Factorization of 9201

Prime factors of 9201 are 3, 3067. Prime factorization of 9201 in exponential form is:

9201 = 3¹ × 3067¹

Step-3: Factors of 9196

List of positive integer factors of 9196 that divides 9196 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598

Step-4: Factors of 9201

List of positive integer factors of 9201 that divides 9196 without a remainder.

1, 3, 3067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9196 and 9201. The biggest common factor number is the GCF number.
So the greatest common factor 9196 and 9201 is 1.

Also check out the Least Common Multiple of 9196 and 9201