What is the Greatest Common Factor of 46944 and 46960?

Greatest common factor (GCF) of 46944 and 46960 is 16.

GCF(46944,46960) = 16

We will now calculate the prime factors of 46944 and 46960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46944 and 46960.

How to find the GCF of 46944 and 46960?

We will first find the prime factorization of 46944 and 46960. After we will calculate the factors of 46944 and 46960 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 46960

Prime factors of 46960 are 2, 5, 587. Prime factorization of 46960 in exponential form is:

46960 = 2⁴ × 5¹ × 587¹

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 46960

List of positive integer factors of 46960 that divides 46944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 587, 1174, 2348, 2935, 4696, 5870, 9392, 11740, 23480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46944 and 46960. The biggest common factor number is the GCF number.
So the greatest common factor 46944 and 46960 is 16.

Also check out the Least Common Multiple of 46944 and 46960