What is the Greatest Common Factor of 65802 and 65813?

Greatest common factor (GCF) of 65802 and 65813 is 11.

GCF(65802,65813) = 11

We will now calculate the prime factors of 65802 and 65813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65802 and 65813.

How to find the GCF of 65802 and 65813?

We will first find the prime factorization of 65802 and 65813. After we will calculate the factors of 65802 and 65813 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 65813

Prime factors of 65813 are 11, 31, 193. Prime factorization of 65813 in exponential form is:

65813 = 11¹ × 31¹ × 193¹

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 65813

List of positive integer factors of 65813 that divides 65802 without a remainder.

1, 11, 31, 193, 341, 2123, 5983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65802 and 65813. The biggest common factor number is the GCF number.
So the greatest common factor 65802 and 65813 is 11.

Also check out the Least Common Multiple of 65802 and 65813