What is the Greatest Common Factor of 5109 and 5122?

Greatest common factor (GCF) of 5109 and 5122 is 13.

GCF(5109,5122) = 13

We will now calculate the prime factors of 5109 and 5122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5109 and 5122.

How to find the GCF of 5109 and 5122?

We will first find the prime factorization of 5109 and 5122. After we will calculate the factors of 5109 and 5122 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 5122

Prime factors of 5122 are 2, 13, 197. Prime factorization of 5122 in exponential form is:

5122 = 2¹ × 13¹ × 197¹

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 5122

List of positive integer factors of 5122 that divides 5109 without a remainder.

1, 2, 13, 26, 197, 394, 2561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5109 and 5122. The biggest common factor number is the GCF number.
So the greatest common factor 5109 and 5122 is 13.

Also check out the Least Common Multiple of 5109 and 5122