What is the Greatest Common Factor of 47717 and 47730?

Greatest common factor (GCF) of 47717 and 47730 is 1.

GCF(47717,47730) = 1

We will now calculate the prime factors of 47717 and 47730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47717 and 47730.

How to find the GCF of 47717 and 47730?

We will first find the prime factorization of 47717 and 47730. After we will calculate the factors of 47717 and 47730 and find the biggest common factor number .

Step-1: Prime Factorization of 47717

Prime factors of 47717 are 47717. Prime factorization of 47717 in exponential form is:

47717 = 47717¹

Step-2: Prime Factorization of 47730

Prime factors of 47730 are 2, 3, 5, 37, 43. Prime factorization of 47730 in exponential form is:

47730 = 2¹ × 3¹ × 5¹ × 37¹ × 43¹

Step-3: Factors of 47717

List of positive integer factors of 47717 that divides 47717 without a remainder.

Step-4: Factors of 47730

List of positive integer factors of 47730 that divides 47717 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 43, 74, 86, 111, 129, 185, 215, 222, 258, 370, 430, 555, 645, 1110, 1290, 1591, 3182, 4773, 7955, 9546, 15910, 23865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47717 and 47730. The biggest common factor number is the GCF number.
So the greatest common factor 47717 and 47730 is 1.

Also check out the Least Common Multiple of 47717 and 47730