What is the Greatest Common Factor of 50730 and 50735?

Greatest common factor (GCF) of 50730 and 50735 is 5.

GCF(50730,50735) = 5

We will now calculate the prime factors of 50730 and 50735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50730 and 50735.

How to find the GCF of 50730 and 50735?

We will first find the prime factorization of 50730 and 50735. After we will calculate the factors of 50730 and 50735 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50735

Prime factors of 50735 are 5, 73, 139. Prime factorization of 50735 in exponential form is:

50735 = 5¹ × 73¹ × 139¹

Step-3: Factors of 50730

List of positive integer factors of 50730 that divides 50730 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

Step-4: Factors of 50735

List of positive integer factors of 50735 that divides 50730 without a remainder.

1, 5, 73, 139, 365, 695, 10147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50730 and 50735. The biggest common factor number is the GCF number.
So the greatest common factor 50730 and 50735 is 5.

Also check out the Least Common Multiple of 50730 and 50735