What is the Greatest Common Factor of 55505 and 55525?

Greatest common factor (GCF) of 55505 and 55525 is 5.

GCF(55505,55525) = 5

We will now calculate the prime factors of 55505 and 55525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55505 and 55525.

How to find the GCF of 55505 and 55525?

We will first find the prime factorization of 55505 and 55525. After we will calculate the factors of 55505 and 55525 and find the biggest common factor number .

Step-1: Prime Factorization of 55505

Prime factors of 55505 are 5, 17, 653. Prime factorization of 55505 in exponential form is:

55505 = 5¹ × 17¹ × 653¹

Step-2: Prime Factorization of 55525

Prime factors of 55525 are 5, 2221. Prime factorization of 55525 in exponential form is:

55525 = 5² × 2221¹

Step-3: Factors of 55505

List of positive integer factors of 55505 that divides 55505 without a remainder.

1, 5, 17, 85, 653, 3265, 11101

Step-4: Factors of 55525

List of positive integer factors of 55525 that divides 55505 without a remainder.

1, 5, 25, 2221, 11105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55505 and 55525. The biggest common factor number is the GCF number.
So the greatest common factor 55505 and 55525 is 5.

Also check out the Least Common Multiple of 55505 and 55525