What is the Greatest Common Factor of 11460 and 11468?

Greatest common factor (GCF) of 11460 and 11468 is 4.

GCF(11460,11468) = 4

We will now calculate the prime factors of 11460 and 11468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11460 and 11468.

How to find the GCF of 11460 and 11468?

We will first find the prime factorization of 11460 and 11468. After we will calculate the factors of 11460 and 11468 and find the biggest common factor number .

Step-1: Prime Factorization of 11460

Prime factors of 11460 are 2, 3, 5, 191. Prime factorization of 11460 in exponential form is:

11460 = 2² × 3¹ × 5¹ × 191¹

Step-2: Prime Factorization of 11468

Prime factors of 11468 are 2, 47, 61. Prime factorization of 11468 in exponential form is:

11468 = 2² × 47¹ × 61¹

Step-3: Factors of 11460

List of positive integer factors of 11460 that divides 11460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 191, 382, 573, 764, 955, 1146, 1910, 2292, 2865, 3820, 5730

Step-4: Factors of 11468

List of positive integer factors of 11468 that divides 11460 without a remainder.

1, 2, 4, 47, 61, 94, 122, 188, 244, 2867, 5734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11460 and 11468. The biggest common factor number is the GCF number.
So the greatest common factor 11460 and 11468 is 4.

Also check out the Least Common Multiple of 11460 and 11468