What is the Greatest Common Factor of 55095 and 55105?

Greatest common factor (GCF) of 55095 and 55105 is 5.

GCF(55095,55105) = 5

We will now calculate the prime factors of 55095 and 55105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55095 and 55105.

How to find the GCF of 55095 and 55105?

We will first find the prime factorization of 55095 and 55105. After we will calculate the factors of 55095 and 55105 and find the biggest common factor number .

Step-1: Prime Factorization of 55095

Prime factors of 55095 are 3, 5, 3673. Prime factorization of 55095 in exponential form is:

55095 = 3¹ × 5¹ × 3673¹

Step-2: Prime Factorization of 55105

Prime factors of 55105 are 5, 103, 107. Prime factorization of 55105 in exponential form is:

55105 = 5¹ × 103¹ × 107¹

Step-3: Factors of 55095

List of positive integer factors of 55095 that divides 55095 without a remainder.

1, 3, 5, 15, 3673, 11019, 18365

Step-4: Factors of 55105

List of positive integer factors of 55105 that divides 55095 without a remainder.

1, 5, 103, 107, 515, 535, 11021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55095 and 55105. The biggest common factor number is the GCF number.
So the greatest common factor 55095 and 55105 is 5.

Also check out the Least Common Multiple of 55095 and 55105