What is the Greatest Common Factor of 67734 and 67741?

Greatest common factor (GCF) of 67734 and 67741 is 1.

GCF(67734,67741) = 1

We will now calculate the prime factors of 67734 and 67741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67734 and 67741.

How to find the GCF of 67734 and 67741?

We will first find the prime factorization of 67734 and 67741. After we will calculate the factors of 67734 and 67741 and find the biggest common factor number .

Step-1: Prime Factorization of 67734

Prime factors of 67734 are 2, 3, 53, 71. Prime factorization of 67734 in exponential form is:

67734 = 2¹ × 3² × 53¹ × 71¹

Step-2: Prime Factorization of 67741

Prime factors of 67741 are 67741. Prime factorization of 67741 in exponential form is:

67741 = 67741¹

Step-3: Factors of 67734

List of positive integer factors of 67734 that divides 67734 without a remainder.

1, 2, 3, 6, 9, 18, 53, 71, 106, 142, 159, 213, 318, 426, 477, 639, 954, 1278, 3763, 7526, 11289, 22578, 33867

Step-4: Factors of 67741

List of positive integer factors of 67741 that divides 67734 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67734 and 67741. The biggest common factor number is the GCF number.
So the greatest common factor 67734 and 67741 is 1.

Also check out the Least Common Multiple of 67734 and 67741