What is the Greatest Common Factor of 5109 and 5117?

Greatest common factor (GCF) of 5109 and 5117 is 1.

GCF(5109,5117) = 1

We will now calculate the prime factors of 5109 and 5117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5109 and 5117.

How to find the GCF of 5109 and 5117?

We will first find the prime factorization of 5109 and 5117. After we will calculate the factors of 5109 and 5117 and find the biggest common factor number .

Step-1: Prime Factorization of 5109

Prime factors of 5109 are 3, 13, 131. Prime factorization of 5109 in exponential form is:

5109 = 3¹ × 13¹ × 131¹

Step-2: Prime Factorization of 5117

Prime factors of 5117 are 7, 17, 43. Prime factorization of 5117 in exponential form is:

5117 = 7¹ × 17¹ × 43¹

Step-3: Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1, 3, 13, 39, 131, 393, 1703

Step-4: Factors of 5117

List of positive integer factors of 5117 that divides 5109 without a remainder.

1, 7, 17, 43, 119, 301, 731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5109 and 5117. The biggest common factor number is the GCF number.
So the greatest common factor 5109 and 5117 is 1.

Also check out the Least Common Multiple of 5109 and 5117