What is the Greatest Common Factor of 52349 and 52360?

Greatest common factor (GCF) of 52349 and 52360 is 11.

GCF(52349,52360) = 11

We will now calculate the prime factors of 52349 and 52360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52349 and 52360.

How to find the GCF of 52349 and 52360?

We will first find the prime factorization of 52349 and 52360. After we will calculate the factors of 52349 and 52360 and find the biggest common factor number .

Step-1: Prime Factorization of 52349

Prime factors of 52349 are 11, 4759. Prime factorization of 52349 in exponential form is:

52349 = 11¹ × 4759¹

Step-2: 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-3: Factors of 52349

List of positive integer factors of 52349 that divides 52349 without a remainder.

1, 11, 4759

Step-4: Factors of 52360

List of positive integer factors of 52360 that divides 52349 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52349 and 52360. The biggest common factor number is the GCF number.
So the greatest common factor 52349 and 52360 is 11.

Also check out the Least Common Multiple of 52349 and 52360