What is the Greatest Common Factor of 65791 and 65802?

Greatest common factor (GCF) of 65791 and 65802 is 11.

GCF(65791,65802) = 11

We will now calculate the prime factors of 65791 and 65802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65791 and 65802.

How to find the GCF of 65791 and 65802?

We will first find the prime factorization of 65791 and 65802. After we will calculate the factors of 65791 and 65802 and find the biggest common factor number .

Step-1: Prime Factorization of 65791

Prime factors of 65791 are 11, 5981. Prime factorization of 65791 in exponential form is:

65791 = 11¹ × 5981¹

Step-2: Prime Factorization of 65802

Prime factors of 65802 are 2, 3, 11, 997. Prime factorization of 65802 in exponential form is:

65802 = 2¹ × 3¹ × 11¹ × 997¹

Step-3: Factors of 65791

List of positive integer factors of 65791 that divides 65791 without a remainder.

1, 11, 5981

Step-4: Factors of 65802

List of positive integer factors of 65802 that divides 65791 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 997, 1994, 2991, 5982, 10967, 21934, 32901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65791 and 65802. The biggest common factor number is the GCF number.
So the greatest common factor 65791 and 65802 is 11.

Also check out the Least Common Multiple of 65791 and 65802