What is the Greatest Common Factor of 11720 and 11730?

Greatest common factor (GCF) of 11720 and 11730 is 10.

GCF(11720,11730) = 10

We will now calculate the prime factors of 11720 and 11730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11720 and 11730.

How to find the GCF of 11720 and 11730?

We will first find the prime factorization of 11720 and 11730. After we will calculate the factors of 11720 and 11730 and find the biggest common factor number .

Step-1: Prime Factorization of 11720

Prime factors of 11720 are 2, 5, 293. Prime factorization of 11720 in exponential form is:

11720 = 2³ × 5¹ × 293¹

Step-2: 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-3: Factors of 11720

List of positive integer factors of 11720 that divides 11720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 293, 586, 1172, 1465, 2344, 2930, 5860

Step-4: Factors of 11730

List of positive integer factors of 11730 that divides 11720 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11720 and 11730. The biggest common factor number is the GCF number.
So the greatest common factor 11720 and 11730 is 10.

Also check out the Least Common Multiple of 11720 and 11730