What is the Greatest Common Factor of 50720 and 50730?

Greatest common factor (GCF) of 50720 and 50730 is 10.

GCF(50720,50730) = 10

We will now calculate the prime factors of 50720 and 50730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50720 and 50730.

How to find the GCF of 50720 and 50730?

We will first find the prime factorization of 50720 and 50730. After we will calculate the factors of 50720 and 50730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50730

Prime factors of 50730 are 2, 3, 5, 19, 89. Prime factorization of 50730 in exponential form is:

50730 = 2¹ × 3¹ × 5¹ × 19¹ × 89¹

Step-3: Factors of 50720

List of positive integer factors of 50720 that divides 50720 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

Step-4: Factors of 50730

List of positive integer factors of 50730 that divides 50720 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 89, 95, 114, 178, 190, 267, 285, 445, 534, 570, 890, 1335, 1691, 2670, 3382, 5073, 8455, 10146, 16910, 25365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50720 and 50730. The biggest common factor number is the GCF number.
So the greatest common factor 50720 and 50730 is 10.

Also check out the Least Common Multiple of 50720 and 50730