What is the Greatest Common Factor of 50320 and 50335?

Greatest common factor (GCF) of 50320 and 50335 is 5.

GCF(50320,50335) = 5

We will now calculate the prime factors of 50320 and 50335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50320 and 50335.

How to find the GCF of 50320 and 50335?

We will first find the prime factorization of 50320 and 50335. After we will calculate the factors of 50320 and 50335 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 50335

Prime factors of 50335 are 5, 10067. Prime factorization of 50335 in exponential form is:

50335 = 5¹ × 10067¹

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 50335

List of positive integer factors of 50335 that divides 50320 without a remainder.

1, 5, 10067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50320 and 50335. The biggest common factor number is the GCF number.
So the greatest common factor 50320 and 50335 is 5.

Also check out the Least Common Multiple of 50320 and 50335