What is the Greatest Common Factor of 44814 and 44825?

Greatest common factor (GCF) of 44814 and 44825 is 11.

GCF(44814,44825) = 11

We will now calculate the prime factors of 44814 and 44825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44814 and 44825.

How to find the GCF of 44814 and 44825?

We will first find the prime factorization of 44814 and 44825. After we will calculate the factors of 44814 and 44825 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 44825

Prime factors of 44825 are 5, 11, 163. Prime factorization of 44825 in exponential form is:

44825 = 5² × 11¹ × 163¹

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 44825

List of positive integer factors of 44825 that divides 44814 without a remainder.

1, 5, 11, 25, 55, 163, 275, 815, 1793, 4075, 8965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44814 and 44825. The biggest common factor number is the GCF number.
So the greatest common factor 44814 and 44825 is 11.

Also check out the Least Common Multiple of 44814 and 44825