What is the Greatest Common Factor of 52334 and 52340?

Greatest common factor (GCF) of 52334 and 52340 is 2.

GCF(52334,52340) = 2

We will now calculate the prime factors of 52334 and 52340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52334 and 52340.

How to find the GCF of 52334 and 52340?

We will first find the prime factorization of 52334 and 52340. After we will calculate the factors of 52334 and 52340 and find the biggest common factor number .

Step-1: Prime Factorization of 52334

Prime factors of 52334 are 2, 137, 191. Prime factorization of 52334 in exponential form is:

52334 = 2¹ × 137¹ × 191¹

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 52334

List of positive integer factors of 52334 that divides 52334 without a remainder.

1, 2, 137, 191, 274, 382, 26167

Step-4: Factors of 52340

List of positive integer factors of 52340 that divides 52334 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 52334 and 52340. The biggest common factor number is the GCF number.
So the greatest common factor 52334 and 52340 is 2.

Also check out the Least Common Multiple of 52334 and 52340