What is the Greatest Common Factor of 46256 and 46272?

Greatest common factor (GCF) of 46256 and 46272 is 16.

GCF(46256,46272) = 16

We will now calculate the prime factors of 46256 and 46272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46256 and 46272.

How to find the GCF of 46256 and 46272?

We will first find the prime factorization of 46256 and 46272. After we will calculate the factors of 46256 and 46272 and find the biggest common factor number .

Step-1: Prime Factorization of 46256

Prime factors of 46256 are 2, 7, 59. Prime factorization of 46256 in exponential form is:

46256 = 2⁴ × 7² × 59¹

Step-2: Prime Factorization of 46272

Prime factors of 46272 are 2, 3, 241. Prime factorization of 46272 in exponential form is:

46272 = 2⁶ × 3¹ × 241¹

Step-3: Factors of 46256

List of positive integer factors of 46256 that divides 46256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 59, 98, 112, 118, 196, 236, 392, 413, 472, 784, 826, 944, 1652, 2891, 3304, 5782, 6608, 11564, 23128

Step-4: Factors of 46272

List of positive integer factors of 46272 that divides 46256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 241, 482, 723, 964, 1446, 1928, 2892, 3856, 5784, 7712, 11568, 15424, 23136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46256 and 46272. The biggest common factor number is the GCF number.
So the greatest common factor 46256 and 46272 is 16.

Also check out the Least Common Multiple of 46256 and 46272