What is the Greatest Common Factor of 50705 and 50720?

Greatest common factor (GCF) of 50705 and 50720 is 5.

GCF(50705,50720) = 5

We will now calculate the prime factors of 50705 and 50720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50705 and 50720.

How to find the GCF of 50705 and 50720?

We will first find the prime factorization of 50705 and 50720. After we will calculate the factors of 50705 and 50720 and find the biggest common factor number .

Step-1: Prime Factorization of 50705

Prime factors of 50705 are 5, 10141. Prime factorization of 50705 in exponential form is:

50705 = 5¹ × 10141¹

Step-2: Prime Factorization of 50720

Prime factors of 50720 are 2, 5, 317. Prime factorization of 50720 in exponential form is:

50720 = 2⁵ × 5¹ × 317¹

Step-3: Factors of 50705

List of positive integer factors of 50705 that divides 50705 without a remainder.

1, 5, 10141

Step-4: Factors of 50720

List of positive integer factors of 50720 that divides 50705 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 317, 634, 1268, 1585, 2536, 3170, 5072, 6340, 10144, 12680, 25360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50705 and 50720. The biggest common factor number is the GCF number.
So the greatest common factor 50705 and 50720 is 5.

Also check out the Least Common Multiple of 50705 and 50720