What is the Greatest Common Factor of 54180 and 54196?

Greatest common factor (GCF) of 54180 and 54196 is 4.

GCF(54180,54196) = 4

We will now calculate the prime factors of 54180 and 54196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54180 and 54196.

How to find the GCF of 54180 and 54196?

We will first find the prime factorization of 54180 and 54196. After we will calculate the factors of 54180 and 54196 and find the biggest common factor number .

Step-1: Prime Factorization of 54180

Prime factors of 54180 are 2, 3, 5, 7, 43. Prime factorization of 54180 in exponential form is:

54180 = 2² × 3² × 5¹ × 7¹ × 43¹

Step-2: 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-3: Factors of 54180

List of positive integer factors of 54180 that divides 54180 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 43, 45, 60, 63, 70, 84, 86, 90, 105, 126, 129, 140, 172, 180, 210, 215, 252, 258, 301, 315, 387, 420, 430, 516, 602, 630, 645, 774, 860, 903, 1204, 1260, 1290, 1505, 1548, 1806, 1935, 2580, 2709, 3010, 3612, 3870, 4515, 5418, 6020, 7740, 9030, 10836, 13545, 18060, 27090

Step-4: Factors of 54196

List of positive integer factors of 54196 that divides 54180 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54180 and 54196. The biggest common factor number is the GCF number.
So the greatest common factor 54180 and 54196 is 4.

Also check out the Least Common Multiple of 54180 and 54196