What is the Greatest Common Factor of 44804 and 44816?

Greatest common factor (GCF) of 44804 and 44816 is 4.

GCF(44804,44816) = 4

We will now calculate the prime factors of 44804 and 44816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44804 and 44816.

How to find the GCF of 44804 and 44816?

We will first find the prime factorization of 44804 and 44816. After we will calculate the factors of 44804 and 44816 and find the biggest common factor number .

Step-1: Prime Factorization of 44804

Prime factors of 44804 are 2, 23, 487. Prime factorization of 44804 in exponential form is:

44804 = 2² × 23¹ × 487¹

Step-2: Prime Factorization of 44816

Prime factors of 44816 are 2, 2801. Prime factorization of 44816 in exponential form is:

44816 = 2⁴ × 2801¹

Step-3: Factors of 44804

List of positive integer factors of 44804 that divides 44804 without a remainder.

1, 2, 4, 23, 46, 92, 487, 974, 1948, 11201, 22402

Step-4: Factors of 44816

List of positive integer factors of 44816 that divides 44804 without a remainder.

1, 2, 4, 8, 16, 2801, 5602, 11204, 22408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44804 and 44816. The biggest common factor number is the GCF number.
So the greatest common factor 44804 and 44816 is 4.

Also check out the Least Common Multiple of 44804 and 44816