What is the Greatest Common Factor of 76449 and 76466?

Greatest common factor (GCF) of 76449 and 76466 is 17.

GCF(76449,76466) = 17

We will now calculate the prime factors of 76449 and 76466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76449 and 76466.

How to find the GCF of 76449 and 76466?

We will first find the prime factorization of 76449 and 76466. After we will calculate the factors of 76449 and 76466 and find the biggest common factor number .

Step-1: Prime Factorization of 76449

Prime factors of 76449 are 3, 17, 1499. Prime factorization of 76449 in exponential form is:

76449 = 3¹ × 17¹ × 1499¹

Step-2: 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-3: Factors of 76449

List of positive integer factors of 76449 that divides 76449 without a remainder.

1, 3, 17, 51, 1499, 4497, 25483

Step-4: Factors of 76466

List of positive integer factors of 76466 that divides 76449 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76449 and 76466. The biggest common factor number is the GCF number.
So the greatest common factor 76449 and 76466 is 17.

Also check out the Least Common Multiple of 76449 and 76466