What is the Greatest Common Factor of 11730 and 11747?

Greatest common factor (GCF) of 11730 and 11747 is 17.

GCF(11730,11747) = 17

We will now calculate the prime factors of 11730 and 11747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11730 and 11747.

How to find the GCF of 11730 and 11747?

We will first find the prime factorization of 11730 and 11747. After we will calculate the factors of 11730 and 11747 and find the biggest common factor number .

Step-1: Prime Factorization of 11730

Prime factors of 11730 are 2, 3, 5, 17, 23. Prime factorization of 11730 in exponential form is:

11730 = 2¹ × 3¹ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 11747

Prime factors of 11747 are 17, 691. Prime factorization of 11747 in exponential form is:

11747 = 17¹ × 691¹

Step-3: Factors of 11730

List of positive integer factors of 11730 that divides 11730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 23, 30, 34, 46, 51, 69, 85, 102, 115, 138, 170, 230, 255, 345, 391, 510, 690, 782, 1173, 1955, 2346, 3910, 5865

Step-4: Factors of 11747

List of positive integer factors of 11747 that divides 11730 without a remainder.

1, 17, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11730 and 11747. The biggest common factor number is the GCF number.
So the greatest common factor 11730 and 11747 is 17.

Also check out the Least Common Multiple of 11730 and 11747