What is the Greatest Common Factor of 52380 and 52386?

Greatest common factor (GCF) of 52380 and 52386 is 6.

GCF(52380,52386) = 6

We will now calculate the prime factors of 52380 and 52386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52380 and 52386.

How to find the GCF of 52380 and 52386?

We will first find the prime factorization of 52380 and 52386. After we will calculate the factors of 52380 and 52386 and find the biggest common factor number .

Step-1: Prime Factorization of 52380

Prime factors of 52380 are 2, 3, 5, 97. Prime factorization of 52380 in exponential form is:

52380 = 2² × 3³ × 5¹ × 97¹

Step-2: Prime Factorization of 52386

Prime factors of 52386 are 2, 3, 8731. Prime factorization of 52386 in exponential form is:

52386 = 2¹ × 3¹ × 8731¹

Step-3: Factors of 52380

List of positive integer factors of 52380 that divides 52380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 97, 108, 135, 180, 194, 270, 291, 388, 485, 540, 582, 873, 970, 1164, 1455, 1746, 1940, 2619, 2910, 3492, 4365, 5238, 5820, 8730, 10476, 13095, 17460, 26190

Step-4: Factors of 52386

List of positive integer factors of 52386 that divides 52380 without a remainder.

1, 2, 3, 6, 8731, 17462, 26193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52380 and 52386. The biggest common factor number is the GCF number.
So the greatest common factor 52380 and 52386 is 6.

Also check out the Least Common Multiple of 52380 and 52386