What is the Greatest Common Factor of 55475 and 55485?

Greatest common factor (GCF) of 55475 and 55485 is 5.

GCF(55475,55485) = 5

We will now calculate the prime factors of 55475 and 55485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55475 and 55485.

How to find the GCF of 55475 and 55485?

We will first find the prime factorization of 55475 and 55485. After we will calculate the factors of 55475 and 55485 and find the biggest common factor number .

Step-1: Prime Factorization of 55475

Prime factors of 55475 are 5, 7, 317. Prime factorization of 55475 in exponential form is:

55475 = 5² × 7¹ × 317¹

Step-2: Prime Factorization of 55485

Prime factors of 55485 are 3, 5, 137. Prime factorization of 55485 in exponential form is:

55485 = 3⁴ × 5¹ × 137¹

Step-3: Factors of 55475

List of positive integer factors of 55475 that divides 55475 without a remainder.

1, 5, 7, 25, 35, 175, 317, 1585, 2219, 7925, 11095

Step-4: Factors of 55485

List of positive integer factors of 55485 that divides 55475 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 137, 405, 411, 685, 1233, 2055, 3699, 6165, 11097, 18495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55475 and 55485. The biggest common factor number is the GCF number.
So the greatest common factor 55475 and 55485 is 5.

Also check out the Least Common Multiple of 55475 and 55485