What is the Greatest Common Factor of 44814 and 44820?

Greatest common factor (GCF) of 44814 and 44820 is 6.

GCF(44814,44820) = 6

We will now calculate the prime factors of 44814 and 44820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44814 and 44820.

How to find the GCF of 44814 and 44820?

We will first find the prime factorization of 44814 and 44820. After we will calculate the factors of 44814 and 44820 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 44820

Prime factors of 44820 are 2, 3, 5, 83. Prime factorization of 44820 in exponential form is:

44820 = 2² × 3³ × 5¹ × 83¹

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 44820

List of positive integer factors of 44820 that divides 44814 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 83, 90, 108, 135, 166, 180, 249, 270, 332, 415, 498, 540, 747, 830, 996, 1245, 1494, 1660, 2241, 2490, 2988, 3735, 4482, 4980, 7470, 8964, 11205, 14940, 22410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44814 and 44820. The biggest common factor number is the GCF number.
So the greatest common factor 44814 and 44820 is 6.

Also check out the Least Common Multiple of 44814 and 44820