What is the Greatest Common Factor of 76608 and 76624?

Greatest common factor (GCF) of 76608 and 76624 is 16.

GCF(76608,76624) = 16

We will now calculate the prime factors of 76608 and 76624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76608 and 76624.

How to find the GCF of 76608 and 76624?

We will first find the prime factorization of 76608 and 76624. After we will calculate the factors of 76608 and 76624 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 76624

Prime factors of 76624 are 2, 4789. Prime factorization of 76624 in exponential form is:

76624 = 2⁴ × 4789¹

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 76624

List of positive integer factors of 76624 that divides 76608 without a remainder.

1, 2, 4, 8, 16, 4789, 9578, 19156, 38312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76608 and 76624. The biggest common factor number is the GCF number.
So the greatest common factor 76608 and 76624 is 16.

Also check out the Least Common Multiple of 76608 and 76624