What is the Greatest Common Factor of 505 and 515?

Greatest common factor (GCF) of 505 and 515 is 5.

GCF(505,515) = 5

We will now calculate the prime factors of 505 and 515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 505 and 515.

How to find the GCF of 505 and 515?

We will first find the prime factorization of 505 and 515. After we will calculate the factors of 505 and 515 and find the biggest common factor number .

Step-1: Prime Factorization of 505

Prime factors of 505 are 5, 101. Prime factorization of 505 in exponential form is:

505 = 5¹ × 101¹

Step-2: Prime Factorization of 515

Prime factors of 515 are 5, 103. Prime factorization of 515 in exponential form is:

515 = 5¹ × 103¹

Step-3: Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1, 5, 101

Step-4: Factors of 515

List of positive integer factors of 515 that divides 505 without a remainder.

1, 5, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 505 and 515. The biggest common factor number is the GCF number.
So the greatest common factor 505 and 515 is 5.

Also check out the Least Common Multiple of 505 and 515