What is the Greatest Common Factor of 52390 and 52403?

Greatest common factor (GCF) of 52390 and 52403 is 13.

GCF(52390,52403) = 13

We will now calculate the prime factors of 52390 and 52403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52390 and 52403.

How to find the GCF of 52390 and 52403?

We will first find the prime factorization of 52390 and 52403. After we will calculate the factors of 52390 and 52403 and find the biggest common factor number .

Step-1: Prime Factorization of 52390

Prime factors of 52390 are 2, 5, 13, 31. Prime factorization of 52390 in exponential form is:

52390 = 2¹ × 5¹ × 13² × 31¹

Step-2: Prime Factorization of 52403

Prime factors of 52403 are 13, 29, 139. Prime factorization of 52403 in exponential form is:

52403 = 13¹ × 29¹ × 139¹

Step-3: Factors of 52390

List of positive integer factors of 52390 that divides 52390 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 169, 310, 338, 403, 806, 845, 1690, 2015, 4030, 5239, 10478, 26195

Step-4: Factors of 52403

List of positive integer factors of 52403 that divides 52390 without a remainder.

1, 13, 29, 139, 377, 1807, 4031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52390 and 52403. The biggest common factor number is the GCF number.
So the greatest common factor 52390 and 52403 is 13.

Also check out the Least Common Multiple of 52390 and 52403