What is the Greatest Common Factor of 54416 and 54422?

Greatest common factor (GCF) of 54416 and 54422 is 2.

GCF(54416,54422) = 2

We will now calculate the prime factors of 54416 and 54422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54416 and 54422.

How to find the GCF of 54416 and 54422?

We will first find the prime factorization of 54416 and 54422. After we will calculate the factors of 54416 and 54422 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 54422

Prime factors of 54422 are 2, 27211. Prime factorization of 54422 in exponential form is:

54422 = 2¹ × 27211¹

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 54422

List of positive integer factors of 54422 that divides 54416 without a remainder.

1, 2, 27211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54416 and 54422. The biggest common factor number is the GCF number.
So the greatest common factor 54416 and 54422 is 2.

Also check out the Least Common Multiple of 54416 and 54422