What is the Greatest Common Factor of 5145 and 5165?

Greatest common factor (GCF) of 5145 and 5165 is 5.

GCF(5145,5165) = 5

We will now calculate the prime factors of 5145 and 5165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5145 and 5165.

How to find the GCF of 5145 and 5165?

We will first find the prime factorization of 5145 and 5165. After we will calculate the factors of 5145 and 5165 and find the biggest common factor number .

Step-1: Prime Factorization of 5145

Prime factors of 5145 are 3, 5, 7. Prime factorization of 5145 in exponential form is:

5145 = 3¹ × 5¹ × 7³

Step-2: Prime Factorization of 5165

Prime factors of 5165 are 5, 1033. Prime factorization of 5165 in exponential form is:

5165 = 5¹ × 1033¹

Step-3: Factors of 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715

Step-4: Factors of 5165

List of positive integer factors of 5165 that divides 5145 without a remainder.

1, 5, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5145 and 5165. The biggest common factor number is the GCF number.
So the greatest common factor 5145 and 5165 is 5.

Also check out the Least Common Multiple of 5145 and 5165