What is the Greatest Common Factor of 55295 and 55301?

Greatest common factor (GCF) of 55295 and 55301 is 1.

GCF(55295,55301) = 1

We will now calculate the prime factors of 55295 and 55301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55295 and 55301.

How to find the GCF of 55295 and 55301?

We will first find the prime factorization of 55295 and 55301. After we will calculate the factors of 55295 and 55301 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 55301

Prime factors of 55301 are 17, 3253. Prime factorization of 55301 in exponential form is:

55301 = 17¹ × 3253¹

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 55301

List of positive integer factors of 55301 that divides 55295 without a remainder.

1, 17, 3253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55295 and 55301. The biggest common factor number is the GCF number.
So the greatest common factor 55295 and 55301 is 1.

Also check out the Least Common Multiple of 55295 and 55301