What is the Greatest Common Factor of 54416 and 54424?

Greatest common factor (GCF) of 54416 and 54424 is 8.

GCF(54416,54424) = 8

We will now calculate the prime factors of 54416 and 54424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54416 and 54424.

How to find the GCF of 54416 and 54424?

We will first find the prime factorization of 54416 and 54424. After we will calculate the factors of 54416 and 54424 and find the biggest common factor number .

Step-1: Prime Factorization of 54416

Prime factors of 54416 are 2, 19, 179. Prime factorization of 54416 in exponential form is:

54416 = 2⁴ × 19¹ × 179¹

Step-2: Prime Factorization of 54424

Prime factors of 54424 are 2, 6803. Prime factorization of 54424 in exponential form is:

54424 = 2³ × 6803¹

Step-3: Factors of 54416

List of positive integer factors of 54416 that divides 54416 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 179, 304, 358, 716, 1432, 2864, 3401, 6802, 13604, 27208

Step-4: Factors of 54424

List of positive integer factors of 54424 that divides 54416 without a remainder.

1, 2, 4, 8, 6803, 13606, 27212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54416 and 54424. The biggest common factor number is the GCF number.
So the greatest common factor 54416 and 54424 is 8.

Also check out the Least Common Multiple of 54416 and 54424