What is the Greatest Common Factor of 67028 and 67041?

Greatest common factor (GCF) of 67028 and 67041 is 13.

GCF(67028,67041) = 13

We will now calculate the prime factors of 67028 and 67041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67028 and 67041.

How to find the GCF of 67028 and 67041?

We will first find the prime factorization of 67028 and 67041. After we will calculate the factors of 67028 and 67041 and find the biggest common factor number .

Step-1: Prime Factorization of 67028

Prime factors of 67028 are 2, 13, 1289. Prime factorization of 67028 in exponential form is:

67028 = 2² × 13¹ × 1289¹

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 67028

List of positive integer factors of 67028 that divides 67028 without a remainder.

1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514

Step-4: Factors of 67041

List of positive integer factors of 67041 that divides 67028 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 67028 and 67041. The biggest common factor number is the GCF number.
So the greatest common factor 67028 and 67041 is 13.

Also check out the Least Common Multiple of 67028 and 67041