What is the Greatest Common Factor of 76466 and 76483?

Greatest common factor (GCF) of 76466 and 76483 is 17.

GCF(76466,76483) = 17

We will now calculate the prime factors of 76466 and 76483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76466 and 76483.

How to find the GCF of 76466 and 76483?

We will first find the prime factorization of 76466 and 76483. After we will calculate the factors of 76466 and 76483 and find the biggest common factor number .

Step-1: Prime Factorization of 76466

Prime factors of 76466 are 2, 13, 17, 173. Prime factorization of 76466 in exponential form is:

76466 = 2¹ × 13¹ × 17¹ × 173¹

Step-2: Prime Factorization of 76483

Prime factors of 76483 are 11, 17, 409. Prime factorization of 76483 in exponential form is:

76483 = 11¹ × 17¹ × 409¹

Step-3: Factors of 76466

List of positive integer factors of 76466 that divides 76466 without a remainder.

1, 2, 13, 17, 26, 34, 173, 221, 346, 442, 2249, 2941, 4498, 5882, 38233

Step-4: Factors of 76483

List of positive integer factors of 76483 that divides 76466 without a remainder.

1, 11, 17, 187, 409, 4499, 6953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76466 and 76483. The biggest common factor number is the GCF number.
So the greatest common factor 76466 and 76483 is 17.

Also check out the Least Common Multiple of 76466 and 76483