What is the Greatest Common Factor of 13525 and 13540?

Greatest common factor (GCF) of 13525 and 13540 is 5.

GCF(13525,13540) = 5

We will now calculate the prime factors of 13525 and 13540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13525 and 13540.

How to find the GCF of 13525 and 13540?

We will first find the prime factorization of 13525 and 13540. After we will calculate the factors of 13525 and 13540 and find the biggest common factor number .

Step-1: Prime Factorization of 13525

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

13525 = 5² × 541¹

Step-2: Prime Factorization of 13540

Prime factors of 13540 are 2, 5, 677. Prime factorization of 13540 in exponential form is:

13540 = 2² × 5¹ × 677¹

Step-3: Factors of 13525

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

1, 5, 25, 541, 2705

Step-4: Factors of 13540

List of positive integer factors of 13540 that divides 13525 without a remainder.

1, 2, 4, 5, 10, 20, 677, 1354, 2708, 3385, 6770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13525 and 13540. The biggest common factor number is the GCF number.
So the greatest common factor 13525 and 13540 is 5.

Also check out the Least Common Multiple of 13525 and 13540