What is the Greatest Common Factor of 52149 and 52164?

Greatest common factor (GCF) of 52149 and 52164 is 3.

GCF(52149,52164) = 3

We will now calculate the prime factors of 52149 and 52164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52149 and 52164.

How to find the GCF of 52149 and 52164?

We will first find the prime factorization of 52149 and 52164. After we will calculate the factors of 52149 and 52164 and find the biggest common factor number .

Step-1: Prime Factorization of 52149

Prime factors of 52149 are 3, 17383. Prime factorization of 52149 in exponential form is:

52149 = 3¹ × 17383¹

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 52149

List of positive integer factors of 52149 that divides 52149 without a remainder.

1, 3, 17383

Step-4: Factors of 52164

List of positive integer factors of 52164 that divides 52149 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 52149 and 52164. The biggest common factor number is the GCF number.
So the greatest common factor 52149 and 52164 is 3.

Also check out the Least Common Multiple of 52149 and 52164