What is the Greatest Common Factor of 46896 and 46914?

Greatest common factor (GCF) of 46896 and 46914 is 6.

GCF(46896,46914) = 6

We will now calculate the prime factors of 46896 and 46914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46896 and 46914.

How to find the GCF of 46896 and 46914?

We will first find the prime factorization of 46896 and 46914. After we will calculate the factors of 46896 and 46914 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 46914

Prime factors of 46914 are 2, 3, 7, 1117. Prime factorization of 46914 in exponential form is:

46914 = 2¹ × 3¹ × 7¹ × 1117¹

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 46914

List of positive integer factors of 46914 that divides 46896 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1117, 2234, 3351, 6702, 7819, 15638, 23457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46896 and 46914. The biggest common factor number is the GCF number.
So the greatest common factor 46896 and 46914 is 6.

Also check out the Least Common Multiple of 46896 and 46914