What is the Greatest Common Factor of 11730 and 11738?

Greatest common factor (GCF) of 11730 and 11738 is 2.

GCF(11730,11738) = 2

We will now calculate the prime factors of 11730 and 11738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11730 and 11738.

How to find the GCF of 11730 and 11738?

We will first find the prime factorization of 11730 and 11738. After we will calculate the factors of 11730 and 11738 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 11738

Prime factors of 11738 are 2, 5869. Prime factorization of 11738 in exponential form is:

11738 = 2¹ × 5869¹

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 11738

List of positive integer factors of 11738 that divides 11730 without a remainder.

1, 2, 5869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11730 and 11738. The biggest common factor number is the GCF number.
So the greatest common factor 11730 and 11738 is 2.

Also check out the Least Common Multiple of 11730 and 11738