What is the Greatest Common Factor of 44888 and 44892?

Greatest common factor (GCF) of 44888 and 44892 is 4.

GCF(44888,44892) = 4

We will now calculate the prime factors of 44888 and 44892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44888 and 44892.

How to find the GCF of 44888 and 44892?

We will first find the prime factorization of 44888 and 44892. After we will calculate the factors of 44888 and 44892 and find the biggest common factor number .

Step-1: Prime Factorization of 44888

Prime factors of 44888 are 2, 31, 181. Prime factorization of 44888 in exponential form is:

44888 = 2³ × 31¹ × 181¹

Step-2: Prime Factorization of 44892

Prime factors of 44892 are 2, 3, 29, 43. Prime factorization of 44892 in exponential form is:

44892 = 2² × 3² × 29¹ × 43¹

Step-3: Factors of 44888

List of positive integer factors of 44888 that divides 44888 without a remainder.

1, 2, 4, 8, 31, 62, 124, 181, 248, 362, 724, 1448, 5611, 11222, 22444

Step-4: Factors of 44892

List of positive integer factors of 44892 that divides 44888 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 43, 58, 86, 87, 116, 129, 172, 174, 258, 261, 348, 387, 516, 522, 774, 1044, 1247, 1548, 2494, 3741, 4988, 7482, 11223, 14964, 22446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44888 and 44892. The biggest common factor number is the GCF number.
So the greatest common factor 44888 and 44892 is 4.

Also check out the Least Common Multiple of 44888 and 44892