What is the Greatest Common Factor of 44838 and 44842?

Greatest common factor (GCF) of 44838 and 44842 is 2.

GCF(44838,44842) = 2

We will now calculate the prime factors of 44838 and 44842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44838 and 44842.

How to find the GCF of 44838 and 44842?

We will first find the prime factorization of 44838 and 44842. After we will calculate the factors of 44838 and 44842 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44842

Prime factors of 44842 are 2, 7, 3203. Prime factorization of 44842 in exponential form is:

44842 = 2¹ × 7¹ × 3203¹

Step-3: Factors of 44838

List of positive integer factors of 44838 that divides 44838 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

Step-4: Factors of 44842

List of positive integer factors of 44842 that divides 44838 without a remainder.

1, 2, 7, 14, 3203, 6406, 22421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44838 and 44842. The biggest common factor number is the GCF number.
So the greatest common factor 44838 and 44842 is 2.

Also check out the Least Common Multiple of 44838 and 44842