What is the Greatest Common Factor of 67029 and 67041?

Greatest common factor (GCF) of 67029 and 67041 is 3.

GCF(67029,67041) = 3

We will now calculate the prime factors of 67029 and 67041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67029 and 67041.

How to find the GCF of 67029 and 67041?

We will first find the prime factorization of 67029 and 67041. After we will calculate the factors of 67029 and 67041 and find the biggest common factor number .

Step-1: Prime Factorization of 67029

Prime factors of 67029 are 3, 22343. Prime factorization of 67029 in exponential form is:

67029 = 3¹ × 22343¹

Step-2: Prime Factorization of 67041

Prime factors of 67041 are 3, 13, 191. Prime factorization of 67041 in exponential form is:

67041 = 3³ × 13¹ × 191¹

Step-3: Factors of 67029

List of positive integer factors of 67029 that divides 67029 without a remainder.

1, 3, 22343

Step-4: Factors of 67041

List of positive integer factors of 67041 that divides 67029 without a remainder.

1, 3, 9, 13, 27, 39, 117, 191, 351, 573, 1719, 2483, 5157, 7449, 22347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67029 and 67041. The biggest common factor number is the GCF number.
So the greatest common factor 67029 and 67041 is 3.

Also check out the Least Common Multiple of 67029 and 67041