What is the Greatest Common Factor of 75256 and 75272?

Greatest common factor (GCF) of 75256 and 75272 is 8.

GCF(75256,75272) = 8

We will now calculate the prime factors of 75256 and 75272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75256 and 75272.

How to find the GCF of 75256 and 75272?

We will first find the prime factorization of 75256 and 75272. After we will calculate the factors of 75256 and 75272 and find the biggest common factor number .

Step-1: Prime Factorization of 75256

Prime factors of 75256 are 2, 23, 409. Prime factorization of 75256 in exponential form is:

75256 = 2³ × 23¹ × 409¹

Step-2: Prime Factorization of 75272

Prime factors of 75272 are 2, 97. Prime factorization of 75272 in exponential form is:

75272 = 2³ × 97²

Step-3: Factors of 75256

List of positive integer factors of 75256 that divides 75256 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 409, 818, 1636, 3272, 9407, 18814, 37628

Step-4: Factors of 75272

List of positive integer factors of 75272 that divides 75256 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776, 9409, 18818, 37636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75256 and 75272. The biggest common factor number is the GCF number.
So the greatest common factor 75256 and 75272 is 8.

Also check out the Least Common Multiple of 75256 and 75272