What is the Greatest Common Factor of 55275 and 55295?

Greatest common factor (GCF) of 55275 and 55295 is 5.

GCF(55275,55295) = 5

We will now calculate the prime factors of 55275 and 55295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55275 and 55295.

How to find the GCF of 55275 and 55295?

We will first find the prime factorization of 55275 and 55295. After we will calculate the factors of 55275 and 55295 and find the biggest common factor number .

Step-1: Prime Factorization of 55275

Prime factors of 55275 are 3, 5, 11, 67. Prime factorization of 55275 in exponential form is:

55275 = 3¹ × 5² × 11¹ × 67¹

Step-2: Prime Factorization of 55295

Prime factors of 55295 are 5, 11059. Prime factorization of 55295 in exponential form is:

55295 = 5¹ × 11059¹

Step-3: Factors of 55275

List of positive integer factors of 55275 that divides 55275 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 67, 75, 165, 201, 275, 335, 737, 825, 1005, 1675, 2211, 3685, 5025, 11055, 18425

Step-4: Factors of 55295

List of positive integer factors of 55295 that divides 55275 without a remainder.

1, 5, 11059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55275 and 55295. The biggest common factor number is the GCF number.
So the greatest common factor 55275 and 55295 is 5.

Also check out the Least Common Multiple of 55275 and 55295