What is the Greatest Common Factor of 65734 and 65752?

Greatest common factor (GCF) of 65734 and 65752 is 2.

GCF(65734,65752) = 2

We will now calculate the prime factors of 65734 and 65752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65734 and 65752.

How to find the GCF of 65734 and 65752?

We will first find the prime factorization of 65734 and 65752. After we will calculate the factors of 65734 and 65752 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 65752

Prime factors of 65752 are 2, 8219. Prime factorization of 65752 in exponential form is:

65752 = 2³ × 8219¹

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 65752

List of positive integer factors of 65752 that divides 65734 without a remainder.

1, 2, 4, 8, 8219, 16438, 32876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65734 and 65752. The biggest common factor number is the GCF number.
So the greatest common factor 65734 and 65752 is 2.

Also check out the Least Common Multiple of 65734 and 65752