What is the Greatest Common Factor of 76608 and 76626?

Greatest common factor (GCF) of 76608 and 76626 is 18.

GCF(76608,76626) = 18

We will now calculate the prime factors of 76608 and 76626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76608 and 76626.

How to find the GCF of 76608 and 76626?

We will first find the prime factorization of 76608 and 76626. After we will calculate the factors of 76608 and 76626 and find the biggest common factor number .

Step-1: Prime Factorization of 76608

Prime factors of 76608 are 2, 3, 7, 19. Prime factorization of 76608 in exponential form is:

76608 = 2⁶ × 3² × 7¹ × 19¹

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 76608

List of positive integer factors of 76608 that divides 76608 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 28, 32, 36, 38, 42, 48, 56, 57, 63, 64, 72, 76, 84, 96, 112, 114, 126, 133, 144, 152, 168, 171, 192, 224, 228, 252, 266, 288, 304, 336, 342, 399, 448, 456, 504, 532, 576, 608, 672, 684, 798, 912, 1008, 1064, 1197, 1216, 1344, 1368, 1596, 1824, 2016, 2128, 2394, 2736, 3192, 3648, 4032, 4256, 4788, 5472, 6384, 8512, 9576, 10944, 12768, 19152, 25536, 38304

Step-4: Factors of 76626

List of positive integer factors of 76626 that divides 76608 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 76608 and 76626. The biggest common factor number is the GCF number.
So the greatest common factor 76608 and 76626 is 18.

Also check out the Least Common Multiple of 76608 and 76626