What is the Greatest Common Factor of 52360 and 52371?

Greatest common factor (GCF) of 52360 and 52371 is 11.

GCF(52360,52371) = 11

We will now calculate the prime factors of 52360 and 52371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52360 and 52371.

How to find the GCF of 52360 and 52371?

We will first find the prime factorization of 52360 and 52371. After we will calculate the factors of 52360 and 52371 and find the biggest common factor number .

Step-1: Prime Factorization of 52360

Prime factors of 52360 are 2, 5, 7, 11, 17. Prime factorization of 52360 in exponential form is:

52360 = 2³ × 5¹ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 52371

Prime factors of 52371 are 3, 11, 23. Prime factorization of 52371 in exponential form is:

52371 = 3² × 11¹ × 23²

Step-3: Factors of 52360

List of positive integer factors of 52360 that divides 52360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 17, 20, 22, 28, 34, 35, 40, 44, 55, 56, 68, 70, 77, 85, 88, 110, 119, 136, 140, 154, 170, 187, 220, 238, 280, 308, 340, 374, 385, 440, 476, 595, 616, 680, 748, 770, 935, 952, 1190, 1309, 1496, 1540, 1870, 2380, 2618, 3080, 3740, 4760, 5236, 6545, 7480, 10472, 13090, 26180

Step-4: Factors of 52371

List of positive integer factors of 52371 that divides 52360 without a remainder.

1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 529, 759, 1587, 2277, 4761, 5819, 17457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52360 and 52371. The biggest common factor number is the GCF number.
So the greatest common factor 52360 and 52371 is 11.

Also check out the Least Common Multiple of 52360 and 52371