What is the Greatest Common Factor of 11616 and 11630?

Greatest common factor (GCF) of 11616 and 11630 is 2.

GCF(11616,11630) = 2

We will now calculate the prime factors of 11616 and 11630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11616 and 11630.

How to find the GCF of 11616 and 11630?

We will first find the prime factorization of 11616 and 11630. After we will calculate the factors of 11616 and 11630 and find the biggest common factor number .

Step-1: Prime Factorization of 11616

Prime factors of 11616 are 2, 3, 11. Prime factorization of 11616 in exponential form is:

11616 = 2⁵ × 3¹ × 11²

Step-2: Prime Factorization of 11630

Prime factors of 11630 are 2, 5, 1163. Prime factorization of 11630 in exponential form is:

11630 = 2¹ × 5¹ × 1163¹

Step-3: Factors of 11616

List of positive integer factors of 11616 that divides 11616 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 121, 132, 176, 242, 264, 352, 363, 484, 528, 726, 968, 1056, 1452, 1936, 2904, 3872, 5808

Step-4: Factors of 11630

List of positive integer factors of 11630 that divides 11616 without a remainder.

1, 2, 5, 10, 1163, 2326, 5815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11616 and 11630. The biggest common factor number is the GCF number.
So the greatest common factor 11616 and 11630 is 2.

Also check out the Least Common Multiple of 11616 and 11630