What is the Greatest Common Factor of 46896 and 46912?

Greatest common factor (GCF) of 46896 and 46912 is 16.

GCF(46896,46912) = 16

We will now calculate the prime factors of 46896 and 46912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46896 and 46912.

How to find the GCF of 46896 and 46912?

We will first find the prime factorization of 46896 and 46912. After we will calculate the factors of 46896 and 46912 and find the biggest common factor number .

Step-1: Prime Factorization of 46896

Prime factors of 46896 are 2, 3, 977. Prime factorization of 46896 in exponential form is:

46896 = 2⁴ × 3¹ × 977¹

Step-2: Prime Factorization of 46912

Prime factors of 46912 are 2, 733. Prime factorization of 46912 in exponential form is:

46912 = 2⁶ × 733¹

Step-3: Factors of 46896

List of positive integer factors of 46896 that divides 46896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 977, 1954, 2931, 3908, 5862, 7816, 11724, 15632, 23448

Step-4: Factors of 46912

List of positive integer factors of 46912 that divides 46896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 733, 1466, 2932, 5864, 11728, 23456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46896 and 46912. The biggest common factor number is the GCF number.
So the greatest common factor 46896 and 46912 is 16.

Also check out the Least Common Multiple of 46896 and 46912