What is the Greatest Common Factor of 46832 and 46848?

Greatest common factor (GCF) of 46832 and 46848 is 16.

GCF(46832,46848) = 16

We will now calculate the prime factors of 46832 and 46848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46832 and 46848.

How to find the GCF of 46832 and 46848?

We will first find the prime factorization of 46832 and 46848. After we will calculate the factors of 46832 and 46848 and find the biggest common factor number .

Step-1: Prime Factorization of 46832

Prime factors of 46832 are 2, 2927. Prime factorization of 46832 in exponential form is:

46832 = 2⁴ × 2927¹

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 46832

List of positive integer factors of 46832 that divides 46832 without a remainder.

1, 2, 4, 8, 16, 2927, 5854, 11708, 23416

Step-4: Factors of 46848

List of positive integer factors of 46848 that divides 46832 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 46832 and 46848. The biggest common factor number is the GCF number.
So the greatest common factor 46832 and 46848 is 16.

Also check out the Least Common Multiple of 46832 and 46848