What is the Greatest Common Factor of 44960 and 44978?

Greatest common factor (GCF) of 44960 and 44978 is 2.

GCF(44960,44978) = 2

We will now calculate the prime factors of 44960 and 44978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44960 and 44978.

How to find the GCF of 44960 and 44978?

We will first find the prime factorization of 44960 and 44978. After we will calculate the factors of 44960 and 44978 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 44978

Prime factors of 44978 are 2, 43, 523. Prime factorization of 44978 in exponential form is:

44978 = 2¹ × 43¹ × 523¹

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 44978

List of positive integer factors of 44978 that divides 44960 without a remainder.

1, 2, 43, 86, 523, 1046, 22489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44960 and 44978. The biggest common factor number is the GCF number.
So the greatest common factor 44960 and 44978 is 2.

Also check out the Least Common Multiple of 44960 and 44978