What is the Greatest Common Factor of 44470 and 44480?

Greatest common factor (GCF) of 44470 and 44480 is 10.

GCF(44470,44480) = 10

We will now calculate the prime factors of 44470 and 44480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44470 and 44480.

How to find the GCF of 44470 and 44480?

We will first find the prime factorization of 44470 and 44480. After we will calculate the factors of 44470 and 44480 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 44480

Prime factors of 44480 are 2, 5, 139. Prime factorization of 44480 in exponential form is:

44480 = 2⁶ × 5¹ × 139¹

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 44480

List of positive integer factors of 44480 that divides 44470 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 139, 160, 278, 320, 556, 695, 1112, 1390, 2224, 2780, 4448, 5560, 8896, 11120, 22240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44470 and 44480. The biggest common factor number is the GCF number.
So the greatest common factor 44470 and 44480 is 10.

Also check out the Least Common Multiple of 44470 and 44480