What is the Greatest Common Factor of 75328 and 75339?

Greatest common factor (GCF) of 75328 and 75339 is 11.

GCF(75328,75339) = 11

We will now calculate the prime factors of 75328 and 75339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75328 and 75339.

How to find the GCF of 75328 and 75339?

We will first find the prime factorization of 75328 and 75339. After we will calculate the factors of 75328 and 75339 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 75339

Prime factors of 75339 are 3, 11, 761. Prime factorization of 75339 in exponential form is:

75339 = 3² × 11¹ × 761¹

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 75339

List of positive integer factors of 75339 that divides 75328 without a remainder.

1, 3, 9, 11, 33, 99, 761, 2283, 6849, 8371, 25113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75328 and 75339. The biggest common factor number is the GCF number.
So the greatest common factor 75328 and 75339 is 11.

Also check out the Least Common Multiple of 75328 and 75339