What is the Greatest Common Factor of 54166 and 54180?

Greatest common factor (GCF) of 54166 and 54180 is 14.

GCF(54166,54180) = 14

We will now calculate the prime factors of 54166 and 54180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54166 and 54180.

How to find the GCF of 54166 and 54180?

We will first find the prime factorization of 54166 and 54180. After we will calculate the factors of 54166 and 54180 and find the biggest common factor number .

Step-1: Prime Factorization of 54166

Prime factors of 54166 are 2, 7, 53, 73. Prime factorization of 54166 in exponential form is:

54166 = 2¹ × 7¹ × 53¹ × 73¹

Step-2: 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-3: Factors of 54166

List of positive integer factors of 54166 that divides 54166 without a remainder.

1, 2, 7, 14, 53, 73, 106, 146, 371, 511, 742, 1022, 3869, 7738, 27083

Step-4: Factors of 54180

List of positive integer factors of 54180 that divides 54166 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54166 and 54180. The biggest common factor number is the GCF number.
So the greatest common factor 54166 and 54180 is 14.

Also check out the Least Common Multiple of 54166 and 54180