What is the Greatest Common Factor of 44524 and 44544?

Greatest common factor (GCF) of 44524 and 44544 is 4.

GCF(44524,44544) = 4

We will now calculate the prime factors of 44524 and 44544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44524 and 44544.

How to find the GCF of 44524 and 44544?

We will first find the prime factorization of 44524 and 44544. After we will calculate the factors of 44524 and 44544 and find the biggest common factor number .

Step-1: Prime Factorization of 44524

Prime factors of 44524 are 2, 11131. Prime factorization of 44524 in exponential form is:

44524 = 2² × 11131¹

Step-2: Prime Factorization of 44544

Prime factors of 44544 are 2, 3, 29. Prime factorization of 44544 in exponential form is:

44544 = 2⁹ × 3¹ × 29¹

Step-3: Factors of 44524

List of positive integer factors of 44524 that divides 44524 without a remainder.

1, 2, 4, 11131, 22262

Step-4: Factors of 44544

List of positive integer factors of 44544 that divides 44524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 128, 174, 192, 232, 256, 348, 384, 464, 512, 696, 768, 928, 1392, 1536, 1856, 2784, 3712, 5568, 7424, 11136, 14848, 22272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44524 and 44544. The biggest common factor number is the GCF number.
So the greatest common factor 44524 and 44544 is 4.

Also check out the Least Common Multiple of 44524 and 44544