What is the Greatest Common Factor of 46256 and 46264?

Greatest common factor (GCF) of 46256 and 46264 is 8.

GCF(46256,46264) = 8

We will now calculate the prime factors of 46256 and 46264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46256 and 46264.

How to find the GCF of 46256 and 46264?

We will first find the prime factorization of 46256 and 46264. After we will calculate the factors of 46256 and 46264 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 46264

Prime factors of 46264 are 2, 5783. Prime factorization of 46264 in exponential form is:

46264 = 2³ × 5783¹

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 46264

List of positive integer factors of 46264 that divides 46256 without a remainder.

1, 2, 4, 8, 5783, 11566, 23132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46256 and 46264. The biggest common factor number is the GCF number.
So the greatest common factor 46256 and 46264 is 8.

Also check out the Least Common Multiple of 46256 and 46264