What is the Greatest Common Factor of 44842 and 44860?

Greatest common factor (GCF) of 44842 and 44860 is 2.

GCF(44842,44860) = 2

We will now calculate the prime factors of 44842 and 44860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44842 and 44860.

How to find the GCF of 44842 and 44860?

We will first find the prime factorization of 44842 and 44860. After we will calculate the factors of 44842 and 44860 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44860

Prime factors of 44860 are 2, 5, 2243. Prime factorization of 44860 in exponential form is:

44860 = 2² × 5¹ × 2243¹

Step-3: Factors of 44842

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

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

Step-4: Factors of 44860

List of positive integer factors of 44860 that divides 44842 without a remainder.

1, 2, 4, 5, 10, 20, 2243, 4486, 8972, 11215, 22430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44842 and 44860. The biggest common factor number is the GCF number.
So the greatest common factor 44842 and 44860 is 2.

Also check out the Least Common Multiple of 44842 and 44860