What is the Greatest Common Factor of 76616 and 76626?

Greatest common factor (GCF) of 76616 and 76626 is 2.

GCF(76616,76626) = 2

We will now calculate the prime factors of 76616 and 76626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76616 and 76626.

How to find the GCF of 76616 and 76626?

We will first find the prime factorization of 76616 and 76626. After we will calculate the factors of 76616 and 76626 and find the biggest common factor number .

Step-1: Prime Factorization of 76616

Prime factors of 76616 are 2, 61, 157. Prime factorization of 76616 in exponential form is:

76616 = 2³ × 61¹ × 157¹

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 76616

List of positive integer factors of 76616 that divides 76616 without a remainder.

1, 2, 4, 8, 61, 122, 157, 244, 314, 488, 628, 1256, 9577, 19154, 38308

Step-4: Factors of 76626

List of positive integer factors of 76626 that divides 76616 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 76616 and 76626. The biggest common factor number is the GCF number.
So the greatest common factor 76616 and 76626 is 2.

Also check out the Least Common Multiple of 76616 and 76626