What is the Greatest Common Factor of 65802 and 65817?

Greatest common factor (GCF) of 65802 and 65817 is 3.

GCF(65802,65817) = 3

We will now calculate the prime factors of 65802 and 65817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65802 and 65817.

How to find the GCF of 65802 and 65817?

We will first find the prime factorization of 65802 and 65817. After we will calculate the factors of 65802 and 65817 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65817

Prime factors of 65817 are 3, 71, 103. Prime factorization of 65817 in exponential form is:

65817 = 3² × 71¹ × 103¹

Step-3: Factors of 65802

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

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

Step-4: Factors of 65817

List of positive integer factors of 65817 that divides 65802 without a remainder.

1, 3, 9, 71, 103, 213, 309, 639, 927, 7313, 21939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65802 and 65817. The biggest common factor number is the GCF number.
So the greatest common factor 65802 and 65817 is 3.

Also check out the Least Common Multiple of 65802 and 65817