What is the Greatest Common Factor of 44784 and 44788?

Greatest common factor (GCF) of 44784 and 44788 is 4.

GCF(44784,44788) = 4

We will now calculate the prime factors of 44784 and 44788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44784 and 44788.

How to find the GCF of 44784 and 44788?

We will first find the prime factorization of 44784 and 44788. After we will calculate the factors of 44784 and 44788 and find the biggest common factor number .

Step-1: Prime Factorization of 44784

Prime factors of 44784 are 2, 3, 311. Prime factorization of 44784 in exponential form is:

44784 = 2⁴ × 3² × 311¹

Step-2: Prime Factorization of 44788

Prime factors of 44788 are 2, 11197. Prime factorization of 44788 in exponential form is:

44788 = 2² × 11197¹

Step-3: Factors of 44784

List of positive integer factors of 44784 that divides 44784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 311, 622, 933, 1244, 1866, 2488, 2799, 3732, 4976, 5598, 7464, 11196, 14928, 22392

Step-4: Factors of 44788

List of positive integer factors of 44788 that divides 44784 without a remainder.

1, 2, 4, 11197, 22394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44784 and 44788. The biggest common factor number is the GCF number.
So the greatest common factor 44784 and 44788 is 4.

Also check out the Least Common Multiple of 44784 and 44788