What is the Greatest Common Factor of 52360 and 52370?

Greatest common factor (GCF) of 52360 and 52370 is 10.

GCF(52360,52370) = 10

We will now calculate the prime factors of 52360 and 52370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52360 and 52370.

How to find the GCF of 52360 and 52370?

We will first find the prime factorization of 52360 and 52370. After we will calculate the factors of 52360 and 52370 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 52370

Prime factors of 52370 are 2, 5, 5237. Prime factorization of 52370 in exponential form is:

52370 = 2¹ × 5¹ × 5237¹

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 52370

List of positive integer factors of 52370 that divides 52360 without a remainder.

1, 2, 5, 10, 5237, 10474, 26185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52360 and 52370. The biggest common factor number is the GCF number.
So the greatest common factor 52360 and 52370 is 10.

Also check out the Least Common Multiple of 52360 and 52370