What is the Greatest Common Factor of 46944 and 46959?

Greatest common factor (GCF) of 46944 and 46959 is 3.

GCF(46944,46959) = 3

We will now calculate the prime factors of 46944 and 46959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46944 and 46959.

How to find the GCF of 46944 and 46959?

We will first find the prime factorization of 46944 and 46959. After we will calculate the factors of 46944 and 46959 and find the biggest common factor number .

Step-1: Prime Factorization of 46944

Prime factors of 46944 are 2, 3, 163. Prime factorization of 46944 in exponential form is:

46944 = 2⁵ × 3² × 163¹

Step-2: Prime Factorization of 46959

Prime factors of 46959 are 3, 11, 1423. Prime factorization of 46959 in exponential form is:

46959 = 3¹ × 11¹ × 1423¹

Step-3: Factors of 46944

List of positive integer factors of 46944 that divides 46944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 163, 288, 326, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 5216, 5868, 7824, 11736, 15648, 23472

Step-4: Factors of 46959

List of positive integer factors of 46959 that divides 46944 without a remainder.

1, 3, 11, 33, 1423, 4269, 15653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46944 and 46959. The biggest common factor number is the GCF number.
So the greatest common factor 46944 and 46959 is 3.

Also check out the Least Common Multiple of 46944 and 46959