What is the Greatest Common Factor of 52360 and 52377?

Greatest common factor (GCF) of 52360 and 52377 is 17.

GCF(52360,52377) = 17

We will now calculate the prime factors of 52360 and 52377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52360 and 52377.

How to find the GCF of 52360 and 52377?

We will first find the prime factorization of 52360 and 52377. After we will calculate the factors of 52360 and 52377 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 52377

Prime factors of 52377 are 3, 13, 17, 79. Prime factorization of 52377 in exponential form is:

52377 = 3¹ × 13¹ × 17¹ × 79¹

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 52377

List of positive integer factors of 52377 that divides 52360 without a remainder.

1, 3, 13, 17, 39, 51, 79, 221, 237, 663, 1027, 1343, 3081, 4029, 17459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52360 and 52377. The biggest common factor number is the GCF number.
So the greatest common factor 52360 and 52377 is 17.

Also check out the Least Common Multiple of 52360 and 52377