What is the Greatest Common Factor of 46848 and 46853?

Greatest common factor (GCF) of 46848 and 46853 is 1.

GCF(46848,46853) = 1

We will now calculate the prime factors of 46848 and 46853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46848 and 46853.

How to find the GCF of 46848 and 46853?

We will first find the prime factorization of 46848 and 46853. After we will calculate the factors of 46848 and 46853 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 46853

Prime factors of 46853 are 46853. Prime factorization of 46853 in exponential form is:

46853 = 46853¹

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 46853

List of positive integer factors of 46853 that divides 46848 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46848 and 46853. The biggest common factor number is the GCF number.
So the greatest common factor 46848 and 46853 is 1.

Also check out the Least Common Multiple of 46848 and 46853