What is the Greatest Common Factor of 510 and 515?

Greatest common factor (GCF) of 510 and 515 is 5.

GCF(510,515) = 5

We will now calculate the prime factors of 510 and 515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 510 and 515.

How to find the GCF of 510 and 515?

We will first find the prime factorization of 510 and 515. After we will calculate the factors of 510 and 515 and find the biggest common factor number .

Step-1: Prime Factorization of 510

Prime factors of 510 are 2, 3, 5, 17. Prime factorization of 510 in exponential form is:

510 = 2¹ × 3¹ × 5¹ × 17¹

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 510

List of positive integer factors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255

Step-4: Factors of 515

List of positive integer factors of 515 that divides 510 without a remainder.

1, 5, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 510 and 515. The biggest common factor number is the GCF number.
So the greatest common factor 510 and 515 is 5.

Also check out the Least Common Multiple of 510 and 515