What is the Greatest Common Factor of 52330 and 52340?

Greatest common factor (GCF) of 52330 and 52340 is 10.

GCF(52330,52340) = 10

We will now calculate the prime factors of 52330 and 52340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52330 and 52340.

How to find the GCF of 52330 and 52340?

We will first find the prime factorization of 52330 and 52340. After we will calculate the factors of 52330 and 52340 and find the biggest common factor number .

Step-1: Prime Factorization of 52330

Prime factors of 52330 are 2, 5, 5233. Prime factorization of 52330 in exponential form is:

52330 = 2¹ × 5¹ × 5233¹

Step-2: Prime Factorization of 52340

Prime factors of 52340 are 2, 5, 2617. Prime factorization of 52340 in exponential form is:

52340 = 2² × 5¹ × 2617¹

Step-3: Factors of 52330

List of positive integer factors of 52330 that divides 52330 without a remainder.

1, 2, 5, 10, 5233, 10466, 26165

Step-4: Factors of 52340

List of positive integer factors of 52340 that divides 52330 without a remainder.

1, 2, 4, 5, 10, 20, 2617, 5234, 10468, 13085, 26170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52330 and 52340. The biggest common factor number is the GCF number.
So the greatest common factor 52330 and 52340 is 10.

Also check out the Least Common Multiple of 52330 and 52340