What is the Greatest Common Factor of 44470 and 44488?

Greatest common factor (GCF) of 44470 and 44488 is 2.

GCF(44470,44488) = 2

We will now calculate the prime factors of 44470 and 44488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44470 and 44488.

How to find the GCF of 44470 and 44488?

We will first find the prime factorization of 44470 and 44488. After we will calculate the factors of 44470 and 44488 and find the biggest common factor number .

Step-1: Prime Factorization of 44470

Prime factors of 44470 are 2, 5, 4447. Prime factorization of 44470 in exponential form is:

44470 = 2¹ × 5¹ × 4447¹

Step-2: Prime Factorization of 44488

Prime factors of 44488 are 2, 67, 83. Prime factorization of 44488 in exponential form is:

44488 = 2³ × 67¹ × 83¹

Step-3: Factors of 44470

List of positive integer factors of 44470 that divides 44470 without a remainder.

1, 2, 5, 10, 4447, 8894, 22235

Step-4: Factors of 44488

List of positive integer factors of 44488 that divides 44470 without a remainder.

1, 2, 4, 8, 67, 83, 134, 166, 268, 332, 536, 664, 5561, 11122, 22244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44470 and 44488. The biggest common factor number is the GCF number.
So the greatest common factor 44470 and 44488 is 2.

Also check out the Least Common Multiple of 44470 and 44488