What is the Greatest Common Factor of 67694 and 67711?

Greatest common factor (GCF) of 67694 and 67711 is 17.

GCF(67694,67711) = 17

We will now calculate the prime factors of 67694 and 67711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67694 and 67711.

How to find the GCF of 67694 and 67711?

We will first find the prime factorization of 67694 and 67711. After we will calculate the factors of 67694 and 67711 and find the biggest common factor number .

Step-1: Prime Factorization of 67694

Prime factors of 67694 are 2, 11, 17, 181. Prime factorization of 67694 in exponential form is:

67694 = 2¹ × 11¹ × 17¹ × 181¹

Step-2: Prime Factorization of 67711

Prime factors of 67711 are 7, 17, 569. Prime factorization of 67711 in exponential form is:

67711 = 7¹ × 17¹ × 569¹

Step-3: Factors of 67694

List of positive integer factors of 67694 that divides 67694 without a remainder.

1, 2, 11, 17, 22, 34, 181, 187, 362, 374, 1991, 3077, 3982, 6154, 33847

Step-4: Factors of 67711

List of positive integer factors of 67711 that divides 67694 without a remainder.

1, 7, 17, 119, 569, 3983, 9673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67694 and 67711. The biggest common factor number is the GCF number.
So the greatest common factor 67694 and 67711 is 17.

Also check out the Least Common Multiple of 67694 and 67711