What is the Greatest Common Factor of 44848 and 44860?

Greatest common factor (GCF) of 44848 and 44860 is 4.

GCF(44848,44860) = 4

We will now calculate the prime factors of 44848 and 44860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44848 and 44860.

How to find the GCF of 44848 and 44860?

We will first find the prime factorization of 44848 and 44860. After we will calculate the factors of 44848 and 44860 and find the biggest common factor number .

Step-1: Prime Factorization of 44848

Prime factors of 44848 are 2, 2803. Prime factorization of 44848 in exponential form is:

44848 = 2⁴ × 2803¹

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 44848

List of positive integer factors of 44848 that divides 44848 without a remainder.

1, 2, 4, 8, 16, 2803, 5606, 11212, 22424

Step-4: Factors of 44860

List of positive integer factors of 44860 that divides 44848 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 44848 and 44860. The biggest common factor number is the GCF number.
So the greatest common factor 44848 and 44860 is 4.

Also check out the Least Common Multiple of 44848 and 44860