What is the Greatest Common Factor of 76617 and 76626?

Greatest common factor (GCF) of 76617 and 76626 is 9.

GCF(76617,76626) = 9

We will now calculate the prime factors of 76617 and 76626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76617 and 76626.

How to find the GCF of 76617 and 76626?

We will first find the prime factorization of 76617 and 76626. After we will calculate the factors of 76617 and 76626 and find the biggest common factor number .

Step-1: Prime Factorization of 76617

Prime factors of 76617 are 3, 8513. Prime factorization of 76617 in exponential form is:

76617 = 3² × 8513¹

Step-2: Prime Factorization of 76626

Prime factors of 76626 are 2, 3, 11, 43. Prime factorization of 76626 in exponential form is:

76626 = 2¹ × 3⁴ × 11¹ × 43¹

Step-3: Factors of 76617

List of positive integer factors of 76617 that divides 76617 without a remainder.

1, 3, 9, 8513, 25539

Step-4: Factors of 76626

List of positive integer factors of 76626 that divides 76617 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 43, 54, 66, 81, 86, 99, 129, 162, 198, 258, 297, 387, 473, 594, 774, 891, 946, 1161, 1419, 1782, 2322, 2838, 3483, 4257, 6966, 8514, 12771, 25542, 38313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76617 and 76626. The biggest common factor number is the GCF number.
So the greatest common factor 76617 and 76626 is 9.

Also check out the Least Common Multiple of 76617 and 76626