What is the Greatest Common Factor of 50320 and 50326?

Greatest common factor (GCF) of 50320 and 50326 is 2.

GCF(50320,50326) = 2

We will now calculate the prime factors of 50320 and 50326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50320 and 50326.

How to find the GCF of 50320 and 50326?

We will first find the prime factorization of 50320 and 50326. After we will calculate the factors of 50320 and 50326 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 50326

Prime factors of 50326 are 2, 25163. Prime factorization of 50326 in exponential form is:

50326 = 2¹ × 25163¹

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 50326

List of positive integer factors of 50326 that divides 50320 without a remainder.

1, 2, 25163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50320 and 50326. The biggest common factor number is the GCF number.
So the greatest common factor 50320 and 50326 is 2.

Also check out the Least Common Multiple of 50320 and 50326