What is the Greatest Common Factor of 44814 and 44832?

Greatest common factor (GCF) of 44814 and 44832 is 6.

GCF(44814,44832) = 6

We will now calculate the prime factors of 44814 and 44832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44814 and 44832.

How to find the GCF of 44814 and 44832?

We will first find the prime factorization of 44814 and 44832. After we will calculate the factors of 44814 and 44832 and find the biggest common factor number .

Step-1: Prime Factorization of 44814

Prime factors of 44814 are 2, 3, 7, 11, 97. Prime factorization of 44814 in exponential form is:

44814 = 2¹ × 3¹ × 7¹ × 11¹ × 97¹

Step-2: Prime Factorization of 44832

Prime factors of 44832 are 2, 3, 467. Prime factorization of 44832 in exponential form is:

44832 = 2⁵ × 3¹ × 467¹

Step-3: Factors of 44814

List of positive integer factors of 44814 that divides 44814 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 97, 154, 194, 231, 291, 462, 582, 679, 1067, 1358, 2037, 2134, 3201, 4074, 6402, 7469, 14938, 22407

Step-4: Factors of 44832

List of positive integer factors of 44832 that divides 44814 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 467, 934, 1401, 1868, 2802, 3736, 5604, 7472, 11208, 14944, 22416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44814 and 44832. The biggest common factor number is the GCF number.
So the greatest common factor 44814 and 44832 is 6.

Also check out the Least Common Multiple of 44814 and 44832