What is the Greatest Common Factor of 44820 and 44838?

Greatest common factor (GCF) of 44820 and 44838 is 18.

GCF(44820,44838) = 18

We will now calculate the prime factors of 44820 and 44838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44820 and 44838.

How to find the GCF of 44820 and 44838?

We will first find the prime factorization of 44820 and 44838. After we will calculate the factors of 44820 and 44838 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44838

Prime factors of 44838 are 2, 3, 47, 53. Prime factorization of 44838 in exponential form is:

44838 = 2¹ × 3² × 47¹ × 53¹

Step-3: Factors of 44820

List of positive integer factors of 44820 that divides 44820 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

Step-4: Factors of 44838

List of positive integer factors of 44838 that divides 44820 without a remainder.

1, 2, 3, 6, 9, 18, 47, 53, 94, 106, 141, 159, 282, 318, 423, 477, 846, 954, 2491, 4982, 7473, 14946, 22419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44820 and 44838. The biggest common factor number is the GCF number.
So the greatest common factor 44820 and 44838 is 18.

Also check out the Least Common Multiple of 44820 and 44838