What is the Greatest Common Factor of 11605 and 11625?

Greatest common factor (GCF) of 11605 and 11625 is 5.

GCF(11605,11625) = 5

We will now calculate the prime factors of 11605 and 11625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11605 and 11625.

How to find the GCF of 11605 and 11625?

We will first find the prime factorization of 11605 and 11625. After we will calculate the factors of 11605 and 11625 and find the biggest common factor number .

Step-1: Prime Factorization of 11605

Prime factors of 11605 are 5, 11, 211. Prime factorization of 11605 in exponential form is:

11605 = 5¹ × 11¹ × 211¹

Step-2: Prime Factorization of 11625

Prime factors of 11625 are 3, 5, 31. Prime factorization of 11625 in exponential form is:

11625 = 3¹ × 5³ × 31¹

Step-3: Factors of 11605

List of positive integer factors of 11605 that divides 11605 without a remainder.

1, 5, 11, 55, 211, 1055, 2321

Step-4: Factors of 11625

List of positive integer factors of 11625 that divides 11605 without a remainder.

1, 3, 5, 15, 25, 31, 75, 93, 125, 155, 375, 465, 775, 2325, 3875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11605 and 11625. The biggest common factor number is the GCF number.
So the greatest common factor 11605 and 11625 is 5.

Also check out the Least Common Multiple of 11605 and 11625