What is the Greatest Common Factor of 76601 and 76608?

Greatest common factor (GCF) of 76601 and 76608 is 7.

GCF(76601,76608) = 7

We will now calculate the prime factors of 76601 and 76608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76601 and 76608.

How to find the GCF of 76601 and 76608?

We will first find the prime factorization of 76601 and 76608. After we will calculate the factors of 76601 and 76608 and find the biggest common factor number .

Step-1: Prime Factorization of 76601

Prime factors of 76601 are 7, 31, 353. Prime factorization of 76601 in exponential form is:

76601 = 7¹ × 31¹ × 353¹

Step-2: 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-3: Factors of 76601

List of positive integer factors of 76601 that divides 76601 without a remainder.

1, 7, 31, 217, 353, 2471, 10943

Step-4: Factors of 76608

List of positive integer factors of 76608 that divides 76601 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76601 and 76608. The biggest common factor number is the GCF number.
So the greatest common factor 76601 and 76608 is 7.

Also check out the Least Common Multiple of 76601 and 76608