What is the Greatest Common Factor of 11510 and 11530?

Greatest common factor (GCF) of 11510 and 11530 is 10.

GCF(11510,11530) = 10

We will now calculate the prime factors of 11510 and 11530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11510 and 11530.

How to find the GCF of 11510 and 11530?

We will first find the prime factorization of 11510 and 11530. After we will calculate the factors of 11510 and 11530 and find the biggest common factor number .

Step-1: Prime Factorization of 11510

Prime factors of 11510 are 2, 5, 1151. Prime factorization of 11510 in exponential form is:

11510 = 2¹ × 5¹ × 1151¹

Step-2: Prime Factorization of 11530

Prime factors of 11530 are 2, 5, 1153. Prime factorization of 11530 in exponential form is:

11530 = 2¹ × 5¹ × 1153¹

Step-3: Factors of 11510

List of positive integer factors of 11510 that divides 11510 without a remainder.

1, 2, 5, 10, 1151, 2302, 5755

Step-4: Factors of 11530

List of positive integer factors of 11530 that divides 11510 without a remainder.

1, 2, 5, 10, 1153, 2306, 5765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11510 and 11530. The biggest common factor number is the GCF number.
So the greatest common factor 11510 and 11530 is 10.

Also check out the Least Common Multiple of 11510 and 11530