What is the Greatest Common Factor of 46848 and 46868?

Greatest common factor (GCF) of 46848 and 46868 is 4.

GCF(46848,46868) = 4

We will now calculate the prime factors of 46848 and 46868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46848 and 46868.

How to find the GCF of 46848 and 46868?

We will first find the prime factorization of 46848 and 46868. After we will calculate the factors of 46848 and 46868 and find the biggest common factor number .

Step-1: Prime Factorization of 46848

Prime factors of 46848 are 2, 3, 61. Prime factorization of 46848 in exponential form is:

46848 = 2⁸ × 3¹ × 61¹

Step-2: Prime Factorization of 46868

Prime factors of 46868 are 2, 11717. Prime factorization of 46868 in exponential form is:

46868 = 2² × 11717¹

Step-3: Factors of 46848

List of positive integer factors of 46848 that divides 46848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 256, 366, 384, 488, 732, 768, 976, 1464, 1952, 2928, 3904, 5856, 7808, 11712, 15616, 23424

Step-4: Factors of 46868

List of positive integer factors of 46868 that divides 46848 without a remainder.

1, 2, 4, 11717, 23434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46848 and 46868. The biggest common factor number is the GCF number.
So the greatest common factor 46848 and 46868 is 4.

Also check out the Least Common Multiple of 46848 and 46868