What is the Greatest Common Factor of 52164 and 52170?

Greatest common factor (GCF) of 52164 and 52170 is 6.

GCF(52164,52170) = 6

We will now calculate the prime factors of 52164 and 52170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52164 and 52170.

How to find the GCF of 52164 and 52170?

We will first find the prime factorization of 52164 and 52170. After we will calculate the factors of 52164 and 52170 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 52170

Prime factors of 52170 are 2, 3, 5, 37, 47. Prime factorization of 52170 in exponential form is:

52170 = 2¹ × 3¹ × 5¹ × 37¹ × 47¹

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 52170

List of positive integer factors of 52170 that divides 52164 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 47, 74, 94, 111, 141, 185, 222, 235, 282, 370, 470, 555, 705, 1110, 1410, 1739, 3478, 5217, 8695, 10434, 17390, 26085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52164 and 52170. The biggest common factor number is the GCF number.
So the greatest common factor 52164 and 52170 is 6.

Also check out the Least Common Multiple of 52164 and 52170