What is the Greatest Common Factor of 42256 and 42272?

Greatest common factor (GCF) of 42256 and 42272 is 16.

GCF(42256,42272) = 16

We will now calculate the prime factors of 42256 and 42272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42256 and 42272.

How to find the GCF of 42256 and 42272?

We will first find the prime factorization of 42256 and 42272. After we will calculate the factors of 42256 and 42272 and find the biggest common factor number .

Step-1: Prime Factorization of 42256

Prime factors of 42256 are 2, 19, 139. Prime factorization of 42256 in exponential form is:

42256 = 2⁴ × 19¹ × 139¹

Step-2: Prime Factorization of 42272

Prime factors of 42272 are 2, 1321. Prime factorization of 42272 in exponential form is:

42272 = 2⁵ × 1321¹

Step-3: Factors of 42256

List of positive integer factors of 42256 that divides 42256 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 139, 152, 278, 304, 556, 1112, 2224, 2641, 5282, 10564, 21128

Step-4: Factors of 42272

List of positive integer factors of 42272 that divides 42256 without a remainder.

1, 2, 4, 8, 16, 32, 1321, 2642, 5284, 10568, 21136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42256 and 42272. The biggest common factor number is the GCF number.
So the greatest common factor 42256 and 42272 is 16.

Also check out the Least Common Multiple of 42256 and 42272