What is the Greatest Common Factor of 54420 and 54430?

Greatest common factor (GCF) of 54420 and 54430 is 10.

GCF(54420,54430) = 10

We will now calculate the prime factors of 54420 and 54430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54420 and 54430.

How to find the GCF of 54420 and 54430?

We will first find the prime factorization of 54420 and 54430. After we will calculate the factors of 54420 and 54430 and find the biggest common factor number .

Step-1: Prime Factorization of 54420

Prime factors of 54420 are 2, 3, 5, 907. Prime factorization of 54420 in exponential form is:

54420 = 2² × 3¹ × 5¹ × 907¹

Step-2: Prime Factorization of 54430

Prime factors of 54430 are 2, 5, 5443. Prime factorization of 54430 in exponential form is:

54430 = 2¹ × 5¹ × 5443¹

Step-3: Factors of 54420

List of positive integer factors of 54420 that divides 54420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 907, 1814, 2721, 3628, 4535, 5442, 9070, 10884, 13605, 18140, 27210

Step-4: Factors of 54430

List of positive integer factors of 54430 that divides 54420 without a remainder.

1, 2, 5, 10, 5443, 10886, 27215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54420 and 54430. The biggest common factor number is the GCF number.
So the greatest common factor 54420 and 54430 is 10.

Also check out the Least Common Multiple of 54420 and 54430