What is the Greatest Common Factor of 67035 and 67047?

Greatest common factor (GCF) of 67035 and 67047 is 3.

GCF(67035,67047) = 3

We will now calculate the prime factors of 67035 and 67047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67035 and 67047.

How to find the GCF of 67035 and 67047?

We will first find the prime factorization of 67035 and 67047. After we will calculate the factors of 67035 and 67047 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 67047

Prime factors of 67047 are 3, 22349. Prime factorization of 67047 in exponential form is:

67047 = 3¹ × 22349¹

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 67047

List of positive integer factors of 67047 that divides 67035 without a remainder.

1, 3, 22349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67035 and 67047. The biggest common factor number is the GCF number.
So the greatest common factor 67035 and 67047 is 3.

Also check out the Least Common Multiple of 67035 and 67047