What is the Greatest Common Factor of 65734 and 65741?

Greatest common factor (GCF) of 65734 and 65741 is 1.

GCF(65734,65741) = 1

We will now calculate the prime factors of 65734 and 65741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65734 and 65741.

How to find the GCF of 65734 and 65741?

We will first find the prime factorization of 65734 and 65741. After we will calculate the factors of 65734 and 65741 and find the biggest common factor number .

Step-1: Prime Factorization of 65734

Prime factors of 65734 are 2, 23, 1429. Prime factorization of 65734 in exponential form is:

65734 = 2¹ × 23¹ × 1429¹

Step-2: Prime Factorization of 65741

Prime factors of 65741 are 13, 389. Prime factorization of 65741 in exponential form is:

65741 = 13² × 389¹

Step-3: Factors of 65734

List of positive integer factors of 65734 that divides 65734 without a remainder.

1, 2, 23, 46, 1429, 2858, 32867

Step-4: Factors of 65741

List of positive integer factors of 65741 that divides 65734 without a remainder.

1, 13, 169, 389, 5057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65734 and 65741. The biggest common factor number is the GCF number.
So the greatest common factor 65734 and 65741 is 1.

Also check out the Least Common Multiple of 65734 and 65741