What is the Greatest Common Factor of 54470 and 54480?

Greatest common factor (GCF) of 54470 and 54480 is 10.

GCF(54470,54480) = 10

We will now calculate the prime factors of 54470 and 54480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54470 and 54480.

How to find the GCF of 54470 and 54480?

We will first find the prime factorization of 54470 and 54480. After we will calculate the factors of 54470 and 54480 and find the biggest common factor number .

Step-1: Prime Factorization of 54470

Prime factors of 54470 are 2, 5, 13, 419. Prime factorization of 54470 in exponential form is:

54470 = 2¹ × 5¹ × 13¹ × 419¹

Step-2: Prime Factorization of 54480

Prime factors of 54480 are 2, 3, 5, 227. Prime factorization of 54480 in exponential form is:

54480 = 2⁴ × 3¹ × 5¹ × 227¹

Step-3: Factors of 54470

List of positive integer factors of 54470 that divides 54470 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 419, 838, 2095, 4190, 5447, 10894, 27235

Step-4: Factors of 54480

List of positive integer factors of 54480 that divides 54470 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 227, 240, 454, 681, 908, 1135, 1362, 1816, 2270, 2724, 3405, 3632, 4540, 5448, 6810, 9080, 10896, 13620, 18160, 27240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54470 and 54480. The biggest common factor number is the GCF number.
So the greatest common factor 54470 and 54480 is 10.

Also check out the Least Common Multiple of 54470 and 54480