What is the Greatest Common Factor of 54320 and 54330?

Greatest common factor (GCF) of 54320 and 54330 is 10.

GCF(54320,54330) = 10

We will now calculate the prime factors of 54320 and 54330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54320 and 54330.

How to find the GCF of 54320 and 54330?

We will first find the prime factorization of 54320 and 54330. After we will calculate the factors of 54320 and 54330 and find the biggest common factor number .

Step-1: Prime Factorization of 54320

Prime factors of 54320 are 2, 5, 7, 97. Prime factorization of 54320 in exponential form is:

54320 = 2⁴ × 5¹ × 7¹ × 97¹

Step-2: Prime Factorization of 54330

Prime factors of 54330 are 2, 3, 5, 1811. Prime factorization of 54330 in exponential form is:

54330 = 2¹ × 3¹ × 5¹ × 1811¹

Step-3: Factors of 54320

List of positive integer factors of 54320 that divides 54320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 97, 112, 140, 194, 280, 388, 485, 560, 679, 776, 970, 1358, 1552, 1940, 2716, 3395, 3880, 5432, 6790, 7760, 10864, 13580, 27160

Step-4: Factors of 54330

List of positive integer factors of 54330 that divides 54320 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1811, 3622, 5433, 9055, 10866, 18110, 27165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54320 and 54330. The biggest common factor number is the GCF number.
So the greatest common factor 54320 and 54330 is 10.

Also check out the Least Common Multiple of 54320 and 54330