What is the Greatest Common Factor of 52346 and 52360?

Greatest common factor (GCF) of 52346 and 52360 is 14.

GCF(52346,52360) = 14

We will now calculate the prime factors of 52346 and 52360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52346 and 52360.

How to find the GCF of 52346 and 52360?

We will first find the prime factorization of 52346 and 52360. After we will calculate the factors of 52346 and 52360 and find the biggest common factor number .

Step-1: Prime Factorization of 52346

Prime factors of 52346 are 2, 7, 3739. Prime factorization of 52346 in exponential form is:

52346 = 2¹ × 7¹ × 3739¹

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 52346

List of positive integer factors of 52346 that divides 52346 without a remainder.

1, 2, 7, 14, 3739, 7478, 26173

Step-4: Factors of 52360

List of positive integer factors of 52360 that divides 52346 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 52346 and 52360. The biggest common factor number is the GCF number.
So the greatest common factor 52346 and 52360 is 14.

Also check out the Least Common Multiple of 52346 and 52360