What is the Greatest Common Factor of 46848 and 46855?

Greatest common factor (GCF) of 46848 and 46855 is 1.

GCF(46848,46855) = 1

We will now calculate the prime factors of 46848 and 46855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46848 and 46855.

How to find the GCF of 46848 and 46855?

We will first find the prime factorization of 46848 and 46855. After we will calculate the factors of 46848 and 46855 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 46855

Prime factors of 46855 are 5, 9371. Prime factorization of 46855 in exponential form is:

46855 = 5¹ × 9371¹

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 46855

List of positive integer factors of 46855 that divides 46848 without a remainder.

1, 5, 9371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46848 and 46855. The biggest common factor number is the GCF number.
So the greatest common factor 46848 and 46855 is 1.

Also check out the Least Common Multiple of 46848 and 46855