What is the Greatest Common Factor of 5197 and 5203?

Greatest common factor (GCF) of 5197 and 5203 is 1.

GCF(5197,5203) = 1

We will now calculate the prime factors of 5197 and 5203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5197 and 5203.

How to find the GCF of 5197 and 5203?

We will first find the prime factorization of 5197 and 5203. After we will calculate the factors of 5197 and 5203 and find the biggest common factor number .

Step-1: Prime Factorization of 5197

Prime factors of 5197 are 5197. Prime factorization of 5197 in exponential form is:

5197 = 5197¹

Step-2: Prime Factorization of 5203

Prime factors of 5203 are 11, 43. Prime factorization of 5203 in exponential form is:

5203 = 11² × 43¹

Step-3: Factors of 5197

List of positive integer factors of 5197 that divides 5197 without a remainder.

Step-4: Factors of 5203

List of positive integer factors of 5203 that divides 5197 without a remainder.

1, 11, 43, 121, 473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5197 and 5203. The biggest common factor number is the GCF number.
So the greatest common factor 5197 and 5203 is 1.

Also check out the Least Common Multiple of 5197 and 5203