What is the Greatest Common Factor of 67135 and 67155?

Greatest common factor (GCF) of 67135 and 67155 is 5.

GCF(67135,67155) = 5

We will now calculate the prime factors of 67135 and 67155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67135 and 67155.

How to find the GCF of 67135 and 67155?

We will first find the prime factorization of 67135 and 67155. After we will calculate the factors of 67135 and 67155 and find the biggest common factor number .

Step-1: Prime Factorization of 67135

Prime factors of 67135 are 5, 29, 463. Prime factorization of 67135 in exponential form is:

67135 = 5¹ × 29¹ × 463¹

Step-2: Prime Factorization of 67155

Prime factors of 67155 are 3, 5, 11, 37. Prime factorization of 67155 in exponential form is:

67155 = 3¹ × 5¹ × 11² × 37¹

Step-3: Factors of 67135

List of positive integer factors of 67135 that divides 67135 without a remainder.

1, 5, 29, 145, 463, 2315, 13427

Step-4: Factors of 67155

List of positive integer factors of 67155 that divides 67135 without a remainder.

1, 3, 5, 11, 15, 33, 37, 55, 111, 121, 165, 185, 363, 407, 555, 605, 1221, 1815, 2035, 4477, 6105, 13431, 22385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67135 and 67155. The biggest common factor number is the GCF number.
So the greatest common factor 67135 and 67155 is 5.

Also check out the Least Common Multiple of 67135 and 67155