What is the Greatest Common Factor of 44960 and 44976?

Greatest common factor (GCF) of 44960 and 44976 is 16.

GCF(44960,44976) = 16

We will now calculate the prime factors of 44960 and 44976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44960 and 44976.

How to find the GCF of 44960 and 44976?

We will first find the prime factorization of 44960 and 44976. After we will calculate the factors of 44960 and 44976 and find the biggest common factor number .

Step-1: Prime Factorization of 44960

Prime factors of 44960 are 2, 5, 281. Prime factorization of 44960 in exponential form is:

44960 = 2⁵ × 5¹ × 281¹

Step-2: Prime Factorization of 44976

Prime factors of 44976 are 2, 3, 937. Prime factorization of 44976 in exponential form is:

44976 = 2⁴ × 3¹ × 937¹

Step-3: Factors of 44960

List of positive integer factors of 44960 that divides 44960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 281, 562, 1124, 1405, 2248, 2810, 4496, 5620, 8992, 11240, 22480

Step-4: Factors of 44976

List of positive integer factors of 44976 that divides 44960 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 937, 1874, 2811, 3748, 5622, 7496, 11244, 14992, 22488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44960 and 44976. The biggest common factor number is the GCF number.
So the greatest common factor 44960 and 44976 is 16.

Also check out the Least Common Multiple of 44960 and 44976