What is the Greatest Common Factor of 6565 and 6575?

Greatest common factor (GCF) of 6565 and 6575 is 5.

GCF(6565,6575) = 5

We will now calculate the prime factors of 6565 and 6575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6565 and 6575.

How to find the GCF of 6565 and 6575?

We will first find the prime factorization of 6565 and 6575. After we will calculate the factors of 6565 and 6575 and find the biggest common factor number .

Step-1: Prime Factorization of 6565

Prime factors of 6565 are 5, 13, 101. Prime factorization of 6565 in exponential form is:

6565 = 5¹ × 13¹ × 101¹

Step-2: Prime Factorization of 6575

Prime factors of 6575 are 5, 263. Prime factorization of 6575 in exponential form is:

6575 = 5² × 263¹

Step-3: Factors of 6565

List of positive integer factors of 6565 that divides 6565 without a remainder.

1, 5, 13, 65, 101, 505, 1313

Step-4: Factors of 6575

List of positive integer factors of 6575 that divides 6565 without a remainder.

1, 5, 25, 263, 1315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6565 and 6575. The biggest common factor number is the GCF number.
So the greatest common factor 6565 and 6575 is 5.

Also check out the Least Common Multiple of 6565 and 6575