What is the Greatest Common Factor of 515 and 535?

Greatest common factor (GCF) of 515 and 535 is 5.

GCF(515,535) = 5

We will now calculate the prime factors of 515 and 535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 515 and 535.

How to find the GCF of 515 and 535?

We will first find the prime factorization of 515 and 535. After we will calculate the factors of 515 and 535 and find the biggest common factor number .

Step-1: Prime Factorization of 515

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

515 = 5¹ × 103¹

Step-2: Prime Factorization of 535

Prime factors of 535 are 5, 107. Prime factorization of 535 in exponential form is:

535 = 5¹ × 107¹

Step-3: Factors of 515

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

1, 5, 103

Step-4: Factors of 535

List of positive integer factors of 535 that divides 515 without a remainder.

1, 5, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 515 and 535. The biggest common factor number is the GCF number.
So the greatest common factor 515 and 535 is 5.

Also check out the Least Common Multiple of 515 and 535