What is the Greatest Common Factor of 13505 and 13525?

Greatest common factor (GCF) of 13505 and 13525 is 5.

GCF(13505,13525) = 5

We will now calculate the prime factors of 13505 and 13525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13505 and 13525.

How to find the GCF of 13505 and 13525?

We will first find the prime factorization of 13505 and 13525. After we will calculate the factors of 13505 and 13525 and find the biggest common factor number .

Step-1: Prime Factorization of 13505

Prime factors of 13505 are 5, 37, 73. Prime factorization of 13505 in exponential form is:

13505 = 5¹ × 37¹ × 73¹

Step-2: Prime Factorization of 13525

Prime factors of 13525 are 5, 541. Prime factorization of 13525 in exponential form is:

13525 = 5² × 541¹

Step-3: Factors of 13505

List of positive integer factors of 13505 that divides 13505 without a remainder.

1, 5, 37, 73, 185, 365, 2701

Step-4: Factors of 13525

List of positive integer factors of 13525 that divides 13505 without a remainder.

1, 5, 25, 541, 2705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13505 and 13525. The biggest common factor number is the GCF number.
So the greatest common factor 13505 and 13525 is 5.

Also check out the Least Common Multiple of 13505 and 13525