What is the Greatest Common Factor of 50320 and 50336?

Greatest common factor (GCF) of 50320 and 50336 is 16.

GCF(50320,50336) = 16

We will now calculate the prime factors of 50320 and 50336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50320 and 50336.

How to find the GCF of 50320 and 50336?

We will first find the prime factorization of 50320 and 50336. After we will calculate the factors of 50320 and 50336 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 50336

Prime factors of 50336 are 2, 11, 13. Prime factorization of 50336 in exponential form is:

50336 = 2⁵ × 11² × 13¹

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 50336

List of positive integer factors of 50336 that divides 50320 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 121, 143, 176, 208, 242, 286, 352, 416, 484, 572, 968, 1144, 1573, 1936, 2288, 3146, 3872, 4576, 6292, 12584, 25168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50320 and 50336. The biggest common factor number is the GCF number.
So the greatest common factor 50320 and 50336 is 16.

Also check out the Least Common Multiple of 50320 and 50336