What is the Greatest Common Factor of 75328 and 75336?

Greatest common factor (GCF) of 75328 and 75336 is 8.

GCF(75328,75336) = 8

We will now calculate the prime factors of 75328 and 75336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75328 and 75336.

How to find the GCF of 75328 and 75336?

We will first find the prime factorization of 75328 and 75336. After we will calculate the factors of 75328 and 75336 and find the biggest common factor number .

Step-1: Prime Factorization of 75328

Prime factors of 75328 are 2, 11, 107. Prime factorization of 75328 in exponential form is:

75328 = 2⁶ × 11¹ × 107¹

Step-2: Prime Factorization of 75336

Prime factors of 75336 are 2, 3, 43, 73. Prime factorization of 75336 in exponential form is:

75336 = 2³ × 3¹ × 43¹ × 73¹

Step-3: Factors of 75328

List of positive integer factors of 75328 that divides 75328 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 107, 176, 214, 352, 428, 704, 856, 1177, 1712, 2354, 3424, 4708, 6848, 9416, 18832, 37664

Step-4: Factors of 75336

List of positive integer factors of 75336 that divides 75328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 73, 86, 129, 146, 172, 219, 258, 292, 344, 438, 516, 584, 876, 1032, 1752, 3139, 6278, 9417, 12556, 18834, 25112, 37668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75328 and 75336. The biggest common factor number is the GCF number.
So the greatest common factor 75328 and 75336 is 8.

Also check out the Least Common Multiple of 75328 and 75336