What is the Greatest Common Factor of 67035 and 67044?

Greatest common factor (GCF) of 67035 and 67044 is 3.

GCF(67035,67044) = 3

We will now calculate the prime factors of 67035 and 67044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67035 and 67044.

How to find the GCF of 67035 and 67044?

We will first find the prime factorization of 67035 and 67044. After we will calculate the factors of 67035 and 67044 and find the biggest common factor number .

Step-1: Prime Factorization of 67035

Prime factors of 67035 are 3, 5, 41, 109. Prime factorization of 67035 in exponential form is:

67035 = 3¹ × 5¹ × 41¹ × 109¹

Step-2: Prime Factorization of 67044

Prime factors of 67044 are 2, 3, 37, 151. Prime factorization of 67044 in exponential form is:

67044 = 2² × 3¹ × 37¹ × 151¹

Step-3: Factors of 67035

List of positive integer factors of 67035 that divides 67035 without a remainder.

1, 3, 5, 15, 41, 109, 123, 205, 327, 545, 615, 1635, 4469, 13407, 22345

Step-4: Factors of 67044

List of positive integer factors of 67044 that divides 67035 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 151, 222, 302, 444, 453, 604, 906, 1812, 5587, 11174, 16761, 22348, 33522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67035 and 67044. The biggest common factor number is the GCF number.
So the greatest common factor 67035 and 67044 is 3.

Also check out the Least Common Multiple of 67035 and 67044