What is the Greatest Common Factor of 52164 and 52182?

Greatest common factor (GCF) of 52164 and 52182 is 18.

GCF(52164,52182) = 18

We will now calculate the prime factors of 52164 and 52182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52164 and 52182.

How to find the GCF of 52164 and 52182?

We will first find the prime factorization of 52164 and 52182. After we will calculate the factors of 52164 and 52182 and find the biggest common factor number .

Step-1: Prime Factorization of 52164

Prime factors of 52164 are 2, 3, 7, 23. Prime factorization of 52164 in exponential form is:

52164 = 2² × 3⁴ × 7¹ × 23¹

Step-2: Prime Factorization of 52182

Prime factors of 52182 are 2, 3, 13, 223. Prime factorization of 52182 in exponential form is:

52182 = 2¹ × 3² × 13¹ × 223¹

Step-3: Factors of 52164

List of positive integer factors of 52164 that divides 52164 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 27, 28, 36, 42, 46, 54, 63, 69, 81, 84, 92, 108, 126, 138, 161, 162, 189, 207, 252, 276, 322, 324, 378, 414, 483, 567, 621, 644, 756, 828, 966, 1134, 1242, 1449, 1863, 1932, 2268, 2484, 2898, 3726, 4347, 5796, 7452, 8694, 13041, 17388, 26082

Step-4: Factors of 52182

List of positive integer factors of 52182 that divides 52164 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 223, 234, 446, 669, 1338, 2007, 2899, 4014, 5798, 8697, 17394, 26091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52164 and 52182. The biggest common factor number is the GCF number.
So the greatest common factor 52164 and 52182 is 18.

Also check out the Least Common Multiple of 52164 and 52182