What is the Greatest Common Factor of 11457 and 11475?

Greatest common factor (GCF) of 11457 and 11475 is 9.

GCF(11457,11475) = 9

We will now calculate the prime factors of 11457 and 11475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11457 and 11475.

How to find the GCF of 11457 and 11475?

We will first find the prime factorization of 11457 and 11475. After we will calculate the factors of 11457 and 11475 and find the biggest common factor number .

Step-1: Prime Factorization of 11457

Prime factors of 11457 are 3, 19, 67. Prime factorization of 11457 in exponential form is:

11457 = 3² × 19¹ × 67¹

Step-2: Prime Factorization of 11475

Prime factors of 11475 are 3, 5, 17. Prime factorization of 11475 in exponential form is:

11475 = 3³ × 5² × 17¹

Step-3: Factors of 11457

List of positive integer factors of 11457 that divides 11457 without a remainder.

1, 3, 9, 19, 57, 67, 171, 201, 603, 1273, 3819

Step-4: Factors of 11475

List of positive integer factors of 11475 that divides 11457 without a remainder.

1, 3, 5, 9, 15, 17, 25, 27, 45, 51, 75, 85, 135, 153, 225, 255, 425, 459, 675, 765, 1275, 2295, 3825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11457 and 11475. The biggest common factor number is the GCF number.
So the greatest common factor 11457 and 11475 is 9.

Also check out the Least Common Multiple of 11457 and 11475