What is the Greatest Common Factor of 44504 and 44524?

Greatest common factor (GCF) of 44504 and 44524 is 4.

GCF(44504,44524) = 4

We will now calculate the prime factors of 44504 and 44524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44504 and 44524.

How to find the GCF of 44504 and 44524?

We will first find the prime factorization of 44504 and 44524. After we will calculate the factors of 44504 and 44524 and find the biggest common factor number .

Step-1: Prime Factorization of 44504

Prime factors of 44504 are 2, 5563. Prime factorization of 44504 in exponential form is:

44504 = 2³ × 5563¹

Step-2: Prime Factorization of 44524

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

44524 = 2² × 11131¹

Step-3: Factors of 44504

List of positive integer factors of 44504 that divides 44504 without a remainder.

1, 2, 4, 8, 5563, 11126, 22252

Step-4: Factors of 44524

List of positive integer factors of 44524 that divides 44504 without a remainder.

1, 2, 4, 11131, 22262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44504 and 44524. The biggest common factor number is the GCF number.
So the greatest common factor 44504 and 44524 is 4.

Also check out the Least Common Multiple of 44504 and 44524