What is the Greatest Common Factor of 75328 and 75342?

Greatest common factor (GCF) of 75328 and 75342 is 2.

GCF(75328,75342) = 2

We will now calculate the prime factors of 75328 and 75342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75328 and 75342.

How to find the GCF of 75328 and 75342?

We will first find the prime factorization of 75328 and 75342. After we will calculate the factors of 75328 and 75342 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 75342

Prime factors of 75342 are 2, 3, 29, 433. Prime factorization of 75342 in exponential form is:

75342 = 2¹ × 3¹ × 29¹ × 433¹

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 75342

List of positive integer factors of 75342 that divides 75328 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 433, 866, 1299, 2598, 12557, 25114, 37671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75328 and 75342. The biggest common factor number is the GCF number.
So the greatest common factor 75328 and 75342 is 2.

Also check out the Least Common Multiple of 75328 and 75342