What is the Greatest Common Factor of 11457 and 11462?

Greatest common factor (GCF) of 11457 and 11462 is 1.

GCF(11457,11462) = 1

We will now calculate the prime factors of 11457 and 11462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11457 and 11462.

How to find the GCF of 11457 and 11462?

We will first find the prime factorization of 11457 and 11462. After we will calculate the factors of 11457 and 11462 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 11462

Prime factors of 11462 are 2, 11, 521. Prime factorization of 11462 in exponential form is:

11462 = 2¹ × 11¹ × 521¹

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 11462

List of positive integer factors of 11462 that divides 11457 without a remainder.

1, 2, 11, 22, 521, 1042, 5731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11457 and 11462. The biggest common factor number is the GCF number.
So the greatest common factor 11457 and 11462 is 1.

Also check out the Least Common Multiple of 11457 and 11462