What is the Greatest Common Factor of 5177 and 5197?

Greatest common factor (GCF) of 5177 and 5197 is 1.

GCF(5177,5197) = 1

We will now calculate the prime factors of 5177 and 5197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5177 and 5197.

How to find the GCF of 5177 and 5197?

We will first find the prime factorization of 5177 and 5197. After we will calculate the factors of 5177 and 5197 and find the biggest common factor number .

Step-1: Prime Factorization of 5177

Prime factors of 5177 are 31, 167. Prime factorization of 5177 in exponential form is:

5177 = 31¹ × 167¹

Step-2: Prime Factorization of 5197

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

5197 = 5197¹

Step-3: Factors of 5177

List of positive integer factors of 5177 that divides 5177 without a remainder.

1, 31, 167

Step-4: Factors of 5197

List of positive integer factors of 5197 that divides 5177 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5177 and 5197. The biggest common factor number is the GCF number.
So the greatest common factor 5177 and 5197 is 1.

Also check out the Least Common Multiple of 5177 and 5197