What is the Greatest Common Factor of 76608 and 76628?

Greatest common factor (GCF) of 76608 and 76628 is 4.

GCF(76608,76628) = 4

We will now calculate the prime factors of 76608 and 76628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76608 and 76628.

How to find the GCF of 76608 and 76628?

We will first find the prime factorization of 76608 and 76628. After we will calculate the factors of 76608 and 76628 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 76628

Prime factors of 76628 are 2, 19157. Prime factorization of 76628 in exponential form is:

76628 = 2² × 19157¹

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 76628

List of positive integer factors of 76628 that divides 76608 without a remainder.

1, 2, 4, 19157, 38314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76608 and 76628. The biggest common factor number is the GCF number.
So the greatest common factor 76608 and 76628 is 4.

Also check out the Least Common Multiple of 76608 and 76628