What is the Greatest Common Factor of 44769 and 44784?

Greatest common factor (GCF) of 44769 and 44784 is 3.

GCF(44769,44784) = 3

We will now calculate the prime factors of 44769 and 44784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44769 and 44784.

How to find the GCF of 44769 and 44784?

We will first find the prime factorization of 44769 and 44784. After we will calculate the factors of 44769 and 44784 and find the biggest common factor number .

Step-1: Prime Factorization of 44769

Prime factors of 44769 are 3, 14923. Prime factorization of 44769 in exponential form is:

44769 = 3¹ × 14923¹

Step-2: 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-3: Factors of 44769

List of positive integer factors of 44769 that divides 44769 without a remainder.

1, 3, 14923

Step-4: Factors of 44784

List of positive integer factors of 44784 that divides 44769 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44769 and 44784. The biggest common factor number is the GCF number.
So the greatest common factor 44769 and 44784 is 3.

Also check out the Least Common Multiple of 44769 and 44784