What is the Greatest Common Factor of 66135 and 66155?

Greatest common factor (GCF) of 66135 and 66155 is 5.

GCF(66135,66155) = 5

We will now calculate the prime factors of 66135 and 66155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66135 and 66155.

How to find the GCF of 66135 and 66155?

We will first find the prime factorization of 66135 and 66155. After we will calculate the factors of 66135 and 66155 and find the biggest common factor number .

Step-1: Prime Factorization of 66135

Prime factors of 66135 are 3, 5, 4409. Prime factorization of 66135 in exponential form is:

66135 = 3¹ × 5¹ × 4409¹

Step-2: Prime Factorization of 66155

Prime factors of 66155 are 5, 101, 131. Prime factorization of 66155 in exponential form is:

66155 = 5¹ × 101¹ × 131¹

Step-3: Factors of 66135

List of positive integer factors of 66135 that divides 66135 without a remainder.

1, 3, 5, 15, 4409, 13227, 22045

Step-4: Factors of 66155

List of positive integer factors of 66155 that divides 66135 without a remainder.

1, 5, 101, 131, 505, 655, 13231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66135 and 66155. The biggest common factor number is the GCF number.
So the greatest common factor 66135 and 66155 is 5.

Also check out the Least Common Multiple of 66135 and 66155