What is the Greatest Common Factor of 76804 and 76817?

Greatest common factor (GCF) of 76804 and 76817 is 13.

GCF(76804,76817) = 13

We will now calculate the prime factors of 76804 and 76817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76804 and 76817.

How to find the GCF of 76804 and 76817?

We will first find the prime factorization of 76804 and 76817. After we will calculate the factors of 76804 and 76817 and find the biggest common factor number .

Step-1: Prime Factorization of 76804

Prime factors of 76804 are 2, 7, 13, 211. Prime factorization of 76804 in exponential form is:

76804 = 2² × 7¹ × 13¹ × 211¹

Step-2: Prime Factorization of 76817

Prime factors of 76817 are 13, 19, 311. Prime factorization of 76817 in exponential form is:

76817 = 13¹ × 19¹ × 311¹

Step-3: Factors of 76804

List of positive integer factors of 76804 that divides 76804 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 211, 364, 422, 844, 1477, 2743, 2954, 5486, 5908, 10972, 19201, 38402

Step-4: Factors of 76817

List of positive integer factors of 76817 that divides 76804 without a remainder.

1, 13, 19, 247, 311, 4043, 5909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76804 and 76817. The biggest common factor number is the GCF number.
So the greatest common factor 76804 and 76817 is 13.

Also check out the Least Common Multiple of 76804 and 76817