What is the Greatest Common Factor of 55065 and 55075?

Greatest common factor (GCF) of 55065 and 55075 is 5.

GCF(55065,55075) = 5

We will now calculate the prime factors of 55065 and 55075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55065 and 55075.

How to find the GCF of 55065 and 55075?

We will first find the prime factorization of 55065 and 55075. After we will calculate the factors of 55065 and 55075 and find the biggest common factor number .

Step-1: Prime Factorization of 55065

Prime factors of 55065 are 3, 5, 3671. Prime factorization of 55065 in exponential form is:

55065 = 3¹ × 5¹ × 3671¹

Step-2: Prime Factorization of 55075

Prime factors of 55075 are 5, 2203. Prime factorization of 55075 in exponential form is:

55075 = 5² × 2203¹

Step-3: Factors of 55065

List of positive integer factors of 55065 that divides 55065 without a remainder.

1, 3, 5, 15, 3671, 11013, 18355

Step-4: Factors of 55075

List of positive integer factors of 55075 that divides 55065 without a remainder.

1, 5, 25, 2203, 11015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55065 and 55075. The biggest common factor number is the GCF number.
So the greatest common factor 55065 and 55075 is 5.

Also check out the Least Common Multiple of 55065 and 55075