What is the Greatest Common Factor of 54196 and 54216?

Greatest common factor (GCF) of 54196 and 54216 is 4.

GCF(54196,54216) = 4

We will now calculate the prime factors of 54196 and 54216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54196 and 54216.

How to find the GCF of 54196 and 54216?

We will first find the prime factorization of 54196 and 54216. After we will calculate the factors of 54196 and 54216 and find the biggest common factor number .

Step-1: Prime Factorization of 54196

Prime factors of 54196 are 2, 17, 797. Prime factorization of 54196 in exponential form is:

54196 = 2² × 17¹ × 797¹

Step-2: Prime Factorization of 54216

Prime factors of 54216 are 2, 3, 251. Prime factorization of 54216 in exponential form is:

54216 = 2³ × 3³ × 251¹

Step-3: Factors of 54196

List of positive integer factors of 54196 that divides 54196 without a remainder.

1, 2, 4, 17, 34, 68, 797, 1594, 3188, 13549, 27098

Step-4: Factors of 54216

List of positive integer factors of 54216 that divides 54196 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4518, 6024, 6777, 9036, 13554, 18072, 27108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54196 and 54216. The biggest common factor number is the GCF number.
So the greatest common factor 54196 and 54216 is 4.

Also check out the Least Common Multiple of 54196 and 54216