What is the Greatest Common Factor of 44828 and 44842?

Greatest common factor (GCF) of 44828 and 44842 is 14.

GCF(44828,44842) = 14

We will now calculate the prime factors of 44828 and 44842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44828 and 44842.

How to find the GCF of 44828 and 44842?

We will first find the prime factorization of 44828 and 44842. After we will calculate the factors of 44828 and 44842 and find the biggest common factor number .

Step-1: Prime Factorization of 44828

Prime factors of 44828 are 2, 7, 1601. Prime factorization of 44828 in exponential form is:

44828 = 2² × 7¹ × 1601¹

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 44828

List of positive integer factors of 44828 that divides 44828 without a remainder.

1, 2, 4, 7, 14, 28, 1601, 3202, 6404, 11207, 22414

Step-4: Factors of 44842

List of positive integer factors of 44842 that divides 44828 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44828 and 44842. The biggest common factor number is the GCF number.
So the greatest common factor 44828 and 44842 is 14.

Also check out the Least Common Multiple of 44828 and 44842