What is the Greatest Common Factor of 65794 and 65810?

Greatest common factor (GCF) of 65794 and 65810 is 2.

GCF(65794,65810) = 2

We will now calculate the prime factors of 65794 and 65810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65794 and 65810.

How to find the GCF of 65794 and 65810?

We will first find the prime factorization of 65794 and 65810. After we will calculate the factors of 65794 and 65810 and find the biggest common factor number .

Step-1: Prime Factorization of 65794

Prime factors of 65794 are 2, 67, 491. Prime factorization of 65794 in exponential form is:

65794 = 2¹ × 67¹ × 491¹

Step-2: Prime Factorization of 65810

Prime factors of 65810 are 2, 5, 6581. Prime factorization of 65810 in exponential form is:

65810 = 2¹ × 5¹ × 6581¹

Step-3: Factors of 65794

List of positive integer factors of 65794 that divides 65794 without a remainder.

1, 2, 67, 134, 491, 982, 32897

Step-4: Factors of 65810

List of positive integer factors of 65810 that divides 65794 without a remainder.

1, 2, 5, 10, 6581, 13162, 32905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65794 and 65810. The biggest common factor number is the GCF number.
So the greatest common factor 65794 and 65810 is 2.

Also check out the Least Common Multiple of 65794 and 65810