What is the Greatest Common Factor of 50710 and 50720?

Greatest common factor (GCF) of 50710 and 50720 is 10.

GCF(50710,50720) = 10

We will now calculate the prime factors of 50710 and 50720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50710 and 50720.

How to find the GCF of 50710 and 50720?

We will first find the prime factorization of 50710 and 50720. After we will calculate the factors of 50710 and 50720 and find the biggest common factor number .

Step-1: Prime Factorization of 50710

Prime factors of 50710 are 2, 5, 11, 461. Prime factorization of 50710 in exponential form is:

50710 = 2¹ × 5¹ × 11¹ × 461¹

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 50710

List of positive integer factors of 50710 that divides 50710 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 461, 922, 2305, 4610, 5071, 10142, 25355

Step-4: Factors of 50720

List of positive integer factors of 50720 that divides 50710 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 50710 and 50720. The biggest common factor number is the GCF number.
So the greatest common factor 50710 and 50720 is 10.

Also check out the Least Common Multiple of 50710 and 50720