What is the Greatest Common Factor of 50730 and 50747?

Greatest common factor (GCF) of 50730 and 50747 is 1.

GCF(50730,50747) = 1

We will now calculate the prime factors of 50730 and 50747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50730 and 50747.

How to find the GCF of 50730 and 50747?

We will first find the prime factorization of 50730 and 50747. After we will calculate the factors of 50730 and 50747 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 50747

Prime factors of 50747 are 31, 1637. Prime factorization of 50747 in exponential form is:

50747 = 31¹ × 1637¹

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 50747

List of positive integer factors of 50747 that divides 50730 without a remainder.

1, 31, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50730 and 50747. The biggest common factor number is the GCF number.
So the greatest common factor 50730 and 50747 is 1.

Also check out the Least Common Multiple of 50730 and 50747