What is the Greatest Common Factor of 44808 and 44814?

Greatest common factor (GCF) of 44808 and 44814 is 6.

GCF(44808,44814) = 6

We will now calculate the prime factors of 44808 and 44814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44808 and 44814.

How to find the GCF of 44808 and 44814?

We will first find the prime factorization of 44808 and 44814. After we will calculate the factors of 44808 and 44814 and find the biggest common factor number .

Step-1: Prime Factorization of 44808

Prime factors of 44808 are 2, 3, 1867. Prime factorization of 44808 in exponential form is:

44808 = 2³ × 3¹ × 1867¹

Step-2: 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-3: Factors of 44808

List of positive integer factors of 44808 that divides 44808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1867, 3734, 5601, 7468, 11202, 14936, 22404

Step-4: Factors of 44814

List of positive integer factors of 44814 that divides 44808 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44808 and 44814. The biggest common factor number is the GCF number.
So the greatest common factor 44808 and 44814 is 6.

Also check out the Least Common Multiple of 44808 and 44814