What is the Greatest Common Factor of 50320 and 50340?

Greatest common factor (GCF) of 50320 and 50340 is 20.

GCF(50320,50340) = 20

We will now calculate the prime factors of 50320 and 50340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50320 and 50340.

How to find the GCF of 50320 and 50340?

We will first find the prime factorization of 50320 and 50340. After we will calculate the factors of 50320 and 50340 and find the biggest common factor number .

Step-1: Prime Factorization of 50320

Prime factors of 50320 are 2, 5, 17, 37. Prime factorization of 50320 in exponential form is:

50320 = 2⁴ × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 50340

Prime factors of 50340 are 2, 3, 5, 839. Prime factorization of 50340 in exponential form is:

50340 = 2² × 3¹ × 5¹ × 839¹

Step-3: Factors of 50320

List of positive integer factors of 50320 that divides 50320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 37, 40, 68, 74, 80, 85, 136, 148, 170, 185, 272, 296, 340, 370, 592, 629, 680, 740, 1258, 1360, 1480, 2516, 2960, 3145, 5032, 6290, 10064, 12580, 25160

Step-4: Factors of 50340

List of positive integer factors of 50340 that divides 50320 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 839, 1678, 2517, 3356, 4195, 5034, 8390, 10068, 12585, 16780, 25170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50320 and 50340. The biggest common factor number is the GCF number.
So the greatest common factor 50320 and 50340 is 20.

Also check out the Least Common Multiple of 50320 and 50340