What is the Greatest Common Factor of 55295 and 55315?

Greatest common factor (GCF) of 55295 and 55315 is 5.

GCF(55295,55315) = 5

We will now calculate the prime factors of 55295 and 55315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55295 and 55315.

How to find the GCF of 55295 and 55315?

We will first find the prime factorization of 55295 and 55315. After we will calculate the factors of 55295 and 55315 and find the biggest common factor number .

Step-1: Prime Factorization of 55295

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

55295 = 5¹ × 11059¹

Step-2: Prime Factorization of 55315

Prime factors of 55315 are 5, 13, 23, 37. Prime factorization of 55315 in exponential form is:

55315 = 5¹ × 13¹ × 23¹ × 37¹

Step-3: Factors of 55295

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

1, 5, 11059

Step-4: Factors of 55315

List of positive integer factors of 55315 that divides 55295 without a remainder.

1, 5, 13, 23, 37, 65, 115, 185, 299, 481, 851, 1495, 2405, 4255, 11063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55295 and 55315. The biggest common factor number is the GCF number.
So the greatest common factor 55295 and 55315 is 5.

Also check out the Least Common Multiple of 55295 and 55315