What is the Greatest Common Factor of 54416 and 54428?

Greatest common factor (GCF) of 54416 and 54428 is 4.

GCF(54416,54428) = 4

We will now calculate the prime factors of 54416 and 54428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54416 and 54428.

How to find the GCF of 54416 and 54428?

We will first find the prime factorization of 54416 and 54428. After we will calculate the factors of 54416 and 54428 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 54428

Prime factors of 54428 are 2, 11, 1237. Prime factorization of 54428 in exponential form is:

54428 = 2² × 11¹ × 1237¹

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 54428

List of positive integer factors of 54428 that divides 54416 without a remainder.

1, 2, 4, 11, 22, 44, 1237, 2474, 4948, 13607, 27214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54416 and 54428. The biggest common factor number is the GCF number.
So the greatest common factor 54416 and 54428 is 4.

Also check out the Least Common Multiple of 54416 and 54428