What is the Greatest Common Factor of 52340 and 52350?

Greatest common factor (GCF) of 52340 and 52350 is 10.

GCF(52340,52350) = 10

We will now calculate the prime factors of 52340 and 52350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52340 and 52350.

How to find the GCF of 52340 and 52350?

We will first find the prime factorization of 52340 and 52350. After we will calculate the factors of 52340 and 52350 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52350

Prime factors of 52350 are 2, 3, 5, 349. Prime factorization of 52350 in exponential form is:

52350 = 2¹ × 3¹ × 5² × 349¹

Step-3: Factors of 52340

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

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

Step-4: Factors of 52350

List of positive integer factors of 52350 that divides 52340 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 349, 698, 1047, 1745, 2094, 3490, 5235, 8725, 10470, 17450, 26175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52340 and 52350. The biggest common factor number is the GCF number.
So the greatest common factor 52340 and 52350 is 10.

Also check out the Least Common Multiple of 52340 and 52350