What is the Greatest Common Factor of 46828 and 46848?

Greatest common factor (GCF) of 46828 and 46848 is 4.

GCF(46828,46848) = 4

We will now calculate the prime factors of 46828 and 46848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46828 and 46848.

How to find the GCF of 46828 and 46848?

We will first find the prime factorization of 46828 and 46848. After we will calculate the factors of 46828 and 46848 and find the biggest common factor number .

Step-1: Prime Factorization of 46828

Prime factors of 46828 are 2, 23, 509. Prime factorization of 46828 in exponential form is:

46828 = 2² × 23¹ × 509¹

Step-2: 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-3: Factors of 46828

List of positive integer factors of 46828 that divides 46828 without a remainder.

1, 2, 4, 23, 46, 92, 509, 1018, 2036, 11707, 23414

Step-4: Factors of 46848

List of positive integer factors of 46848 that divides 46828 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46828 and 46848. The biggest common factor number is the GCF number.
So the greatest common factor 46828 and 46848 is 4.

Also check out the Least Common Multiple of 46828 and 46848