What is the Greatest Common Factor of 50314 and 50320?

Greatest common factor (GCF) of 50314 and 50320 is 2.

GCF(50314,50320) = 2

We will now calculate the prime factors of 50314 and 50320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50314 and 50320.

How to find the GCF of 50314 and 50320?

We will first find the prime factorization of 50314 and 50320. After we will calculate the factors of 50314 and 50320 and find the biggest common factor number .

Step-1: Prime Factorization of 50314

Prime factors of 50314 are 2, 11, 2287. Prime factorization of 50314 in exponential form is:

50314 = 2¹ × 11¹ × 2287¹

Step-2: 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-3: Factors of 50314

List of positive integer factors of 50314 that divides 50314 without a remainder.

1, 2, 11, 22, 2287, 4574, 25157

Step-4: Factors of 50320

List of positive integer factors of 50320 that divides 50314 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50314 and 50320. The biggest common factor number is the GCF number.
So the greatest common factor 50314 and 50320 is 2.

Also check out the Least Common Multiple of 50314 and 50320