What is the Greatest Common Factor of 46884 and 46896?

Greatest common factor (GCF) of 46884 and 46896 is 12.

GCF(46884,46896) = 12

We will now calculate the prime factors of 46884 and 46896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46884 and 46896.

How to find the GCF of 46884 and 46896?

We will first find the prime factorization of 46884 and 46896. After we will calculate the factors of 46884 and 46896 and find the biggest common factor number .

Step-1: Prime Factorization of 46884

Prime factors of 46884 are 2, 3, 3907. Prime factorization of 46884 in exponential form is:

46884 = 2² × 3¹ × 3907¹

Step-2: 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-3: Factors of 46884

List of positive integer factors of 46884 that divides 46884 without a remainder.

1, 2, 3, 4, 6, 12, 3907, 7814, 11721, 15628, 23442

Step-4: Factors of 46896

List of positive integer factors of 46896 that divides 46884 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46884 and 46896. The biggest common factor number is the GCF number.
So the greatest common factor 46884 and 46896 is 12.

Also check out the Least Common Multiple of 46884 and 46896