What is the Greatest Common Factor of 65741 and 65754?

Greatest common factor (GCF) of 65741 and 65754 is 13.

GCF(65741,65754) = 13

We will now calculate the prime factors of 65741 and 65754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65741 and 65754.

How to find the GCF of 65741 and 65754?

We will first find the prime factorization of 65741 and 65754. After we will calculate the factors of 65741 and 65754 and find the biggest common factor number .

Step-1: Prime Factorization of 65741

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

65741 = 13² × 389¹

Step-2: Prime Factorization of 65754

Prime factors of 65754 are 2, 3, 13, 281. Prime factorization of 65754 in exponential form is:

65754 = 2¹ × 3² × 13¹ × 281¹

Step-3: Factors of 65741

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

1, 13, 169, 389, 5057

Step-4: Factors of 65754

List of positive integer factors of 65754 that divides 65741 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 281, 562, 843, 1686, 2529, 3653, 5058, 7306, 10959, 21918, 32877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65741 and 65754. The biggest common factor number is the GCF number.
So the greatest common factor 65741 and 65754 is 13.

Also check out the Least Common Multiple of 65741 and 65754