What is the Greatest Common Factor of 52158 and 52164?

Greatest common factor (GCF) of 52158 and 52164 is 6.

GCF(52158,52164) = 6

We will now calculate the prime factors of 52158 and 52164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52158 and 52164.

How to find the GCF of 52158 and 52164?

We will first find the prime factorization of 52158 and 52164. After we will calculate the factors of 52158 and 52164 and find the biggest common factor number .

Step-1: Prime Factorization of 52158

Prime factors of 52158 are 2, 3, 8693. Prime factorization of 52158 in exponential form is:

52158 = 2¹ × 3¹ × 8693¹

Step-2: 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-3: Factors of 52158

List of positive integer factors of 52158 that divides 52158 without a remainder.

1, 2, 3, 6, 8693, 17386, 26079

Step-4: Factors of 52164

List of positive integer factors of 52164 that divides 52158 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52158 and 52164. The biggest common factor number is the GCF number.
So the greatest common factor 52158 and 52164 is 6.

Also check out the Least Common Multiple of 52158 and 52164