What is the Greatest Common Factor of 44784 and 44802?

Greatest common factor (GCF) of 44784 and 44802 is 18.

GCF(44784,44802) = 18

We will now calculate the prime factors of 44784 and 44802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44784 and 44802.

How to find the GCF of 44784 and 44802?

We will first find the prime factorization of 44784 and 44802. After we will calculate the factors of 44784 and 44802 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 44802

Prime factors of 44802 are 2, 3, 19, 131. Prime factorization of 44802 in exponential form is:

44802 = 2¹ × 3² × 19¹ × 131¹

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 44802

List of positive integer factors of 44802 that divides 44784 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 131, 171, 262, 342, 393, 786, 1179, 2358, 2489, 4978, 7467, 14934, 22401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44784 and 44802. The biggest common factor number is the GCF number.
So the greatest common factor 44784 and 44802 is 18.

Also check out the Least Common Multiple of 44784 and 44802