What is the Greatest Common Factor of 52164 and 52183?

Greatest common factor (GCF) of 52164 and 52183 is 1.

GCF(52164,52183) = 1

We will now calculate the prime factors of 52164 and 52183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52164 and 52183.

How to find the GCF of 52164 and 52183?

We will first find the prime factorization of 52164 and 52183. After we will calculate the factors of 52164 and 52183 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 52183

Prime factors of 52183 are 52183. Prime factorization of 52183 in exponential form is:

52183 = 52183¹

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 52183

List of positive integer factors of 52183 that divides 52164 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52164 and 52183. The biggest common factor number is the GCF number.
So the greatest common factor 52164 and 52183 is 1.

Also check out the Least Common Multiple of 52164 and 52183