What is the Greatest Common Factor of 76802 and 76813?

Greatest common factor (GCF) of 76802 and 76813 is 11.

GCF(76802,76813) = 11

We will now calculate the prime factors of 76802 and 76813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76802 and 76813.

How to find the GCF of 76802 and 76813?

We will first find the prime factorization of 76802 and 76813. After we will calculate the factors of 76802 and 76813 and find the biggest common factor number .

Step-1: Prime Factorization of 76802

Prime factors of 76802 are 2, 11, 3491. Prime factorization of 76802 in exponential form is:

76802 = 2¹ × 11¹ × 3491¹

Step-2: Prime Factorization of 76813

Prime factors of 76813 are 11, 6983. Prime factorization of 76813 in exponential form is:

76813 = 11¹ × 6983¹

Step-3: Factors of 76802

List of positive integer factors of 76802 that divides 76802 without a remainder.

1, 2, 11, 22, 3491, 6982, 38401

Step-4: Factors of 76813

List of positive integer factors of 76813 that divides 76802 without a remainder.

1, 11, 6983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76802 and 76813. The biggest common factor number is the GCF number.
So the greatest common factor 76802 and 76813 is 11.

Also check out the Least Common Multiple of 76802 and 76813